{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7332a2d0-10c9-40f2-8bda-9a2ec630f13f",
   "metadata": {},
   "source": [
    "Chapter 18\n",
    "# 将无向图转换为邻接矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ac43e145-b958-4c37-be88-32516fe9bdf0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8aa6b49e-bbb9-48e1-94ca-6034b04f6fe3",
   "metadata": {},
   "outputs": [],
   "source": [
    "undirected_G = nx.Graph()\n",
    "# 创建无向图的实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6d040088-8f36-4e83-9203-4536c4d8188a",
   "metadata": {},
   "outputs": [],
   "source": [
    "undirected_G.add_nodes_from(['a', 'b', 'c', 'd'])\n",
    "# 添加多个顶点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f37a2cdf-1e76-4a46-bf35-5492af13e615",
   "metadata": {},
   "outputs": [],
   "source": [
    "undirected_G.add_edges_from([('a','b'),\n",
    "                             ('b','c'),\n",
    "                             ('b','d'), \n",
    "                             ('c','d'),\n",
    "                             ('c','a')])\n",
    "# 增加一组边"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "20884d5d-7809-4182-a86a-6d05d993c647",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(undirected_G, \n",
    "                 node_size = 180)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8721b33f-0fe1-41a7-9766-c3c96f8db5d4",
   "metadata": {},
   "source": [
    "## 邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0fe9a0e4-4aa6-460e-8e23-58f3f80bbde4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# adjacency_matrix = nx.to_numpy_matrix(undirected_G)\n",
    "adjacency_matrix = nx.adjacency_matrix(undirected_G).todense()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "569e1916-99d9-45d9-add0-5c0c0d758c28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 1, 0],\n",
       "       [1, 0, 1, 1],\n",
       "       [1, 1, 0, 1],\n",
       "       [0, 1, 1, 0]], dtype=int32)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adjacency_matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1d2a3fe-4a8a-4693-b22f-9f6333dfeef8",
   "metadata": {},
   "source": [
    "##  空手道俱乐部图的邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c1744a51-b01e-42a4-b10b-1a124aa5f9b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_karate = nx.karate_club_graph() \n",
    "# 空手道俱乐部图\n",
    "pos = nx.spring_layout(G_karate,seed=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "46c9d22b-c55a-4b18-ad07-d94178704ca8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1ZeclbFq8iX2PCXqLeSzrt+Xe6jEkndymW1kLIJMrsGroW2B/1FqJKTsvPTcraw0pODgYgOrVq+NkZ4tT3gvdy5W8Kktp01OI3jIVbXoKzkPmYGTtoDumsLIHQG5ZIdd1CssKoFUjZaQjeyJD2YtUwUrMIQuCkKeGDRtiY2OjN2wNMHnyZK5cucLevXvzvK64K2uzSVoNWlX+C8Ze1JW1RREcHIy5uTmNGjV61l0psicrS0nqDB5um4E6Pgqnft9g4qg//WBk7YDC0k6XuzsnTXIsMiMTZKa5C5mU1wpWJfHiPIkgCAalUCho3bo1J06c0Pvcx8cHb29vvv/+e/JKY1CclbW6zzNVRC7sn/Vn0UBi9y9Hm5GWu08v4MraoggODkYmk9GwYcNn3ZUiy65gBVlfth7tmoPq3nUqvjkJ06r187zGon5bNEmPSLt9TveZJjWR1LBTmFVvhEymH7LKWwWr0hJD1oIg5MvHx4f58+ej1Wr1hqcnTZpEjx49CAwMpG3btnrXFGVlbQWfwbrPFFZ22LTqg4lzbZC0pN06i/LsXjIf3sb5re/15gyzV9ZOw8PAT1p+paenc+7cOTIzM/HweH6eO2cFq/jDq0kLO4W5Wws0aUqUl4/onZs9XWHbuh+p1wN5tHMWNl5vIje1JPn836DRUKHd27nuUV4qWBnKi/MkgiAYnLe3N19//TVXrlzB0/Nx+sVu3brRsGFDZs+erReQi7uyFsCuwzC98ywbtMfYvioJx38l9Xoglg3a6x1/0VbWFubMmTNkZmYCPFdvyPC4glV2Huq0sH9JC/s313nZAVlhaYfzkLnEH15N0uk/QKPBtGpdHHuMx8S5lt415aWClSG9HH+jBUEokRYtWmBkZMSJEyf0ArJcLueLL75g6NChXLx4UTe3WdyVtfmx9nqDhICNpIdfyBWQX7SVtYUJDg7GxMSEzMxM6tatW/gF5cjglq6sCw6n0uDZRb7GuEIlnHp/Weh5Gq3EkFYv1jY4MYcsCEK+LC0tadq0aa6FXQADBgygevXqzJkzR/dZYStrnfpP11tZmx+5sSlyc2s06Xkv4HqRVtYWJjg4mIoVK1KnTh3MzMyedXeKxd3ZmlbVbQtNalJc5aGCVVkQAVkQhAL5+PjkWtgFYGxszIQJE/D39+fWrawhyeKurM2PVpWKNjUJhUXeb8Ev0sragkiSRFBQEEZGRs/V/HG2c+fOcXLpp0gaw1byetYVrMrKy/G3WhCEEvPx8SE8PJy7d+/mOvbee+/h4ODA/PnzgeKvrJXUGXludUoM8gckzGu+kuvYi7aytiB37tzhwYMHJCYmPnfzx2vXrqVNmzY4msHEV2sYtO0ZPT1eyAQxIiALglAgb29vgDzfki0sLPjkk09Ys2YN0dHRupW1wOOVtbWa6VbW5vwDWXPLUT+9S+w/P5F0ejdJp3fzcOs0kk7twKxWM8zrtMp1zxdtZW1BshOCJCQkPDdvyCqVihEjRvDee+8xZMgQAgMDGdO1KXXSbxik/WddwaosiYAsCEKBnJ2dcXNzyzMgA3z00UcYGxvz449ZqR196zqhkMv0VtbG/rkg1x8AuZkl5m4tSA8/R8Kx9cQfWYs68SEV2r+NU5+v89h3KtG2tn0ZPm35EhwcTNWqWXm/n4c35IiICNq2bcv69etZtWoVq1atwszMjA0bNnBg0Xi6OSY89xWsypJMymtn/xOKWlxZEIQX07vvvsuFCxc4e/ZsnscnTpzIzz//TEREBA/T5XRadLzM+pK+/UtGD+3DqFGjcHR0LLP7lAdeXl7I5XLOnTtHSkpKgQU9nrUDBw4waNAgrKys2L59O82aZRWCuHTpEi1btmTAgAGsWbOGu/FpTNl5iYCwGBRyWYFVwLKPt3VzZFYvz+d2mLqoMVS8IQuCUChvb28uXLhAcnLeq57HjRtHeno6K1euxN3ZmrZujsV+CyqMQi7jlSrm9OrYmlmzZuHq6sqoUaMIDQ016H3Ki7S0NM6fP4+ZmRl169Yt02CcolJz5V4i5yLiuXIvkRRV0RdhabVaZs2axWuvvUbz5s05c+aMLhgnJibSu3dv6tSpw7Jly5DJZLoKVgc+bcfQltWp7mDBk39TZEB1BwuGtqzOwXHt2DC85XMbjItDvCELglCo69evU79+ffbv30+nTp3yPOeDDz7gzz//5Pbt2zxK1eK38BgqA25PMjWSc3Bce1zsLYiJiWH58uUsXbqUR48e0aNHDz777DPatWuHTGbYLwKQFbDCY1OeaoWlgIAA2rVrxyuvvIK7uzv+/v4Gbf9mdDK/nYrgyI2HRMSl6u0flwGu9hb41nVicEtX3J3z3l6UkJDA22+/zZ49e/jmm2/45ptvUCiy9phLkkTv3r05cuQIZ86coXbt2vn25Vn8fJ+mosbQF+eJBUEoM3Xr1sXBwYHAwMB8A/Lnn3/O6tWrWb9+PSNGjGB6Tw8m7bhksD7kXFnr6OjI119/zcSJE/ntt9/44Ycf6NChA82bN+ezzz6jb9++pX6jNETAKo3g4GAsLS0JDw+nV69eBms3Mi610CFjCbgTl8qGU3dYFxye55DxxYsX6d27N7GxsezZs4fu3bvrtTF//nx27drFH3/8UWAwhqw0my9LopeCiCFrQRAKJZPJ8Pb2zjNBSDZ3d3f69u3L3LlzUavVDPRyZULnOga5f34ra83MzBg+fDiXL1/mr7/+wtbWlrfeegs3NzcWLFhAUlJSse8VGZfK0NWn6LToOBtO3eHOE8EY9ANWp0XHGbr6FJH5pAwtqeDgYJo0aUJcXJzBVlj7h0Tgt/AYQbdiAQqcv815POhWLH4Lj+EfklXYY+PGjbRq1QorKyvOnDmTKxgfPXqUSZMmMXnyZHr27GmQvr8MREAWBKFIfHx8OHXqlC6vcl6++OILbt26xfbt2wEY4+vO7N6eZb6yViaT0bVrVw4ePMi5c+do3749kyZNolq1aowfP56IiKJViDJUwCotSZIIDg6mevXqgGFWWC89cpNJOy6hUmsLfa4nabQSKrWWSTsu8dpnCxk6dCj9+/cnKCiIWrX0c0zfu3ePgQMH0qFDB2bMmFHqfr9MxByyIAhFEhQUhLe3NyEhITRv3jzf8zp37syjR484e/asbj63KMOk2Qy1sjYqKoolS5awcuVKkpOT6devH+PHj8+370uP3GT+/tIvEJvQuQ5jfN1L1cbt27epVasWH3zwARs2bECpVOrmZkti5vo9zFm8kvSIS6gTo5Gb22BapS4V2g3F2L6q3rlJZ/aQfHYv6oQHKMxtsKjflgpthyI3eZy2s5tDHMvGD8k1X5+ZmYmvry/h4eGcPXsWJ6cXq/hDSRU1hoqALAhCkahUKmxtbZkzZw6ffPJJvucdPnyYjh07sm/fPl577TW9Y7p52dCH3IlNgRzra2VkJf3wrePEkFauBstTrFQqWbNmDYsWLeL27du0a9eO8ePH0717d11JSf+QCMYt207KpUOFBq3k8/tIuXKUzNi7aFVKFFYOmLl6UsF7EEYVnAGY09uzVMkrNm3axODBgxk6dCiXL1/Od7tZUUTGpdLAuzNpkVexqOeDsVMNNMp4ks/+iZSRTqW352NSsQYA8UfWknRqOxZ1vTGr0ZjMmEiSz/2FWfVGOA/4VtdmzgV2OX322WcsWbKE48eP07p16xL3+UUjArIgCAbXrl07nJ2d2bp1a77nSJJEy5YtsbS05MiRI/meN37SFHYdOMG2nbueyspajUbDzp07WbBgASdPnqROnTqMGzeOV3v0o8eKf7m79TtUd68VGrRi//kJKVOFScXqyM2sUCdGk3zhH9BqqfzeEoysHfINWEX18ccf888//+Do6Ejt2rXZsGFDiZ976OpTHD4egJGzGzLF44VumXFR3Fs9Bst63jj2mIBaGUfUT+9iWb8djj3G685LOrOH+AMrqdjnayzcWwJZoxhtajmwYXhL3XlbtmxhwIABLF68mI8//rjE/X0RiX3IgiAYXPbCroK+x8tkMiZNmsTRo0c5efJkvueplElYaxJp6mqHRxXbMt/molAo6Nu3L8HBwQQFBeHp6cno0aN5ddIqMtQarL16UfWjNdh3GoF149eo4D2QSoPnIGk1JJ3cpmvH4bWPcOw+DpuWvbFq3JkK7Ybi1G8a2rQkUi4fBkCtlZiys+QrzIODg2ndujVXrlwp1fzxzehkAsJiMK5SXy8YAxjbV8XE0ZXMmEgAMqKug1aDZYN2eudZ1s/655Rrj5O9aLQSAWExhD3M2pd+7do1hg8fzqBBgxgzZkyJ+/uyEwFZEIQi8/Hx4cGDB9y+fbvA8958803q1q3L7Nn518FVKpVYWVkZuotF0rp1a7Zt28b+U5cwquaJhAyzaoUHrfwY2WbNlWpVKUDugFUcqampXLhwgbp165KUlFSqFda/nYrIdzGdJEloUhOQW2S9sUmarMV6MiNTvfNkxln/nPHgP73PFXIZG09GoFQq6dOnD66urvz8889lsg/8ZSECsiAIRZY9L1jQ9icAuVzOF198wR9//MHVq1fzPCc5OfmZBeRsAfekAld/Pxm0ctKkJaFJSUB1/yaxexcBYFa9se54dsAqrtOnT6NWq7G1zdqXW5o35CM3Hua7gC7lylE0ybFY1msLgNH/58nT7+r/+1JFXgFAo4zV+1yjlTgS+pAPPviAyMhItm/f/sz/fT7vREAWBKHI7O3t8fDwKDQgAwwePJiqVasyd+7cPI8rlUqsrZ9tgfmCAhbkDlo53V36DneXDOHB+nGooq5j5zcC85pNdcezA1ZxBQcHY2VlRUpKCpaWlri6lmxxmFKlJiKfvdGZsZHEHViOadV6WHp2BMC0khsmVeqSdGo7yosHUCdEk/bfaWL3LQO5EVKmKlc7d2JT+H37LtasWUO9evVK1E/hMZGpSxCEYvHx8SEgIKDQ80xMTBg/fjyff/45M2bMyBVYlEolVapUKatuFqqggAV5B62cnPtPR1JnkBkbScqVo0iZ6bnOuRObyvGgUxjLtGg0miL92bp1Ky4uLuzevRsnJyd++eWXIl+b80+s1hzJLPdKZ40ynodbpyM3tcTxzcnI5I+3U1XsNZmYP+YS+1dW5S5kcmxavEl6xGUy46Ly+CnJGPbxRPr161f4D1wolAjIgiAUi7e3NytXriQuLg57+4JLIX7wwQd8++23/PDDDyxatEjv2LOcQ4ast7v83o0LClrZzKo3AsC8dnPM3Vtxf/VoZCZm2DTroXeeX69BZD4seM69ICNHjkShUBT7Dw41oK1+QNampxC9ZSra9BSch8zByNpB77iRtSOVhswlMy4KTUo8xnZVUVjZcXfp2xjb5/3ladRosaLaUERAFgShWHx8fICsRCFPpkx8kpWVFR9//DHz58/nq6++0iuXmJyc/EyHrDPyKXxRWNDKi7FdZUyca5Fy5WiugPzb5t9p4GxRpCAaERFB48aN2b59O0OGDOHbb79l/Pjxed6zsIIMV+4l8vqSx1MLkjqDh9tmoI6Pwnngd5g45j8UbmxfVbf3OiMmAo0yLs9RAgALM5NCfz5C0YiALAhCsdSoUYMqVaoQGBhYaEAGdAF56dKlTJs2Tff5s35DNjHKvYSmOEHrSdrMDNDkTivaoF6dIhdO2Lt3LwDVq1cnLS0NT09PvePFKXhRw8ESGVl5tyWthke75qC6dx2nPl9hWrV+kfojSVoSjqxFZmyKdZOuuY7LgBoOlkVqSyicCMiCIBRLUQpN5OTo6MgHH3zA4sWLmTBhgi4IP+uAnDNgQdGClqTVoM1IQ2Gm32/VvRtkPgrHskF7vc+LG7CCg4OpU6cOUVFZ87XZW55KWqGpcgUz7iWkE394NWlhpzB3a4EmTYnysn7CFquGvgDEHViJpMnExKkWklZNytVjZNwLxaH7ON3WrpxcHSxeqDKJz5r4SQqCUGw+Pj5MnDiR9PR0zMzMCj3/s88+Y9myZaxatYpx48ahVqtJS0t7pkPWlqZGuNpbcOf/C7uKErSkjDSilg3Don5bTBxdkRmbkfkoHOWlg8hNLbH1Hqh3TXEDVs6EIBUqVKBKlSr4h0QwdfcV1P8PwsUpeIEkIZdBRvQtANLC/iUt7N9c12QHZBPn2iSd/oOUK0dBJsO0ch2cB83UzZfnpJDL8K0jclUbkgjIgiAUm7e3NxkZGZw5cwZvb+9Cz3d1dWXw4MEsWLCA0aNHk5aWBvDM9612qFuRDcHhaJEVKWjJjE2xatyZ9DsXSb1xAikzA4WVPZb122PbZoAulzUUP2ClpKRw4cIFPvzwQ44fP46HhwfLjoaVuOBFzsBdaXD+CVpysmrkh1UjvyK3P6RVyfN1C7mJgCwIQrE1btwYS0tLAgMDixSQAT7//HPWr1/Pb7/9RufOnYFnG5BPnjzJ/mVz0L7yPlC0oCVTGGPv92GR2i9uwDp9+jQajYbWrVuzfPlyqrbrz/z9oWgz0kg6tQPVvRtk3A9Fm67EodunuQJnzJ8LSbl8KFe7RvbVqPrhiiL3oyiyc1kbqgCIkEUEZEEQis3IyIjWrVtz4sSJIl/ToEED3njjDebMmUPLlllFCZ7FkHVoaChTpkxh+/btNGrUiPp2EJpYcEnI4ipJwAoKCsLa2pq6desSGhWL0jJrQZc2NYnEE5tR2FTE2KkmqogCcmQrjHHoOlbvI7lpyQpcFMRILmNWL8/CTxSKRQRkQRBKxNvbmyVLlqDVanVlDAszadIkWrdurVtN/DTfkKOjo5k+fTo///wzVapUYf369QwePJh7iSr8Fh4zaEAuScAKDg6mRYsWhIeHY93xQ7QyOUigsLKn2pgNKKzsUN2/yYP14/JtQyZX6OaDy9KMnh4lrmQl5E+kzhQEoUR8fHyIi4vj+vXrRb6mVatWdOjQgdWrVwOPA3KKSs2Ve4mci4jnyr1EUlRqg/UzOTmZadOmUbt2bTZv3szs2bMJDQ3l7bffRqFQ4GJvwfSeJS/gkJfiBixJknQLug6GXMG85itkfz+QGRmjsLIreltaDVpV/hnIilBxt0ATO9ctVa1nIX/iDVkQhBJp2bIlCoWCEydO0KBBgyJfN2nSJLp06YKxgwsrT8fx784jhe6pdXcu/tB2ZmYmq1atYvr06SQmJjJ27FgmT56MnV3u4DbQy5UYparEC6hyKknA+u+//4iJiaF169YsDYpG0jrkmR2sMFKmisiF/ZEyVcjNrLBo0B67DsOQm5hnHddqAQmFXIGmGHFZIZdhJJcxo6eHCMZlSLwhC4JQItbW1jRu3LjI+5Gz1W/uQ/V35lHlg+XsuPiIO08EY9DfU9tp0XGGrj5FZAF5p/WulSS2bduGh4cHY8aMoWvXroSGhjJ37tw8g3G2Mb7uzO7tiamRvMAKUHlRyGWYGsmZ09uT0b5uxboWsoarIWsE4b90sxIFY4WVHTat+uDQ7VMce07E3K0lyrN7ebhlKpJWA4BMLsdGoaZNbUddvwuSfbhNLQcOjmsvgnEZE2/IgiCUmI+Pj24+uCiy99TKKtVFgkLf0nLuqfVbeIzpPT0YWEBQCAgI4PPPP+fkyZN06dKFbdu20ahR7j20+Rno5Yp3bcdCk3Bkk7QaZHIFbWo5MKuXZ4nnVYODg6lXrx4mljaojEq20M2uwzC9f7Zs0B5j+6okHP+V1OuBuqQlSsmUFUOacS8hLSvrV+hDImL1vxRJkoStXEXvVvUY0spVrKZ+SkRAFgShxLy9vVm8eDH379+ncuXKBZ679MjNx0PCsuINzmm0EhqtxKQdl4hRqhjj6653/OrVq0yaNIk9e/bQrFkzDh06xKuvvlqse2Rzsbdgw/CWj9NU5hGwQKKSpRGhx3bz48d9GdqzZYnulS17/jjsQSLIivd2XhBrrzdICNhIevgFXUCWgPDYFDyq2DKtpwfT8NDlxb4TGcU7QwfTvF519u7aUeTFeoJhiIAsCEKJZe9BPnHiBH379s33PP+QCGau/5OUS4dIj7iEOjEaubkNplXqUqHdUF0hA4A7s/PPj21Wownz+Y6KVqYM8HIlKiqKqVOnsnbtWqpXr87mzZvp37+/QQKJu7N1roCVodbyRo/XGdTdj9lfTqfW6lGc+EvG0J6dSnwfpVLJxYsX+eijj/jvdnip+52T3NgUubk1mvRkvc+fLKxhaWpEbXtT3un5NlaZCWxaf1gE42dABGRBEEqsatWq1KxZs8CAHBmXytTdV0g6uQ3V3WtY1PPB2KkGGmU8yWf/5P7aT6j09nxMKtYAwKF77upGGQ9uknx6N2Y1mwLwze4rnNixll9+nIOlpSULFy5k5MiRmJiUTeUhS1MjXYGIapYQHRWBTCajX79+rFu3jqVLl2JkVLJfpyEhIWi1Wlq3bs3+kKuA4Yo1aFWpaFOTUFjoF7fIq7DGJ598wuXLlwkKCipwrl0oO+IrkCAIpVJYoYkpOy+h1kpYe/Wi6kdrsO80AuvGr1HBeyCVBs9B0mpIOrlNd75VQ99cf6SMdECGZf2sYdf0jEy23jHms88+IywsjLFjx5ZZMH6Si4sLkZGRAPTr149Hjx5x/PjxErcXHByMjY0NDRo04OF/V0q0LUlSZ+S51SkxyB+QMK/5iu6zvAperFu3jp9//plly5bxyiuvIDwb4g1ZEIRS8fHxYfPmzXlWb7oZnUxAWAwAZtVyV08ytq+KiaMrmTGR+bYvqTNJvXECU9eGGNlkrQ6WyRWYVm/MsLHtsLV9uguOXFxcOHfuHADNmzenRo0abN26tcRz1sHBwbRs2RK5XM6NKxcxqVGHTLMKeuckndmDNj0FjTIOyMq3rU7O+rnaNOuBNl3J/bVjsWjQHmOHagCk3z5L2n+nMavVDPM6rXRtPVnw4sKFC4waNYr33nuP4cOHl+gZBMMQb8iCIJSKj48PGo2Gf//NXZDht1MRBW6tkSQJTWoCcgubfM9J+y8ErSoFS48Oep8r5DI2nowocb9Lqlq1akRGRiJJEjKZjL59+7Jjxw40Gk2x25IkiZMnT9K6dWsArly5gqtRcq6fWdKpnSQGbER57i8AUkODSAzYSGLARrTpSuRmlpi7tSA9/BwJx9YTf2Qt6sSHVGj/Nk59vkb2/0V0Txa8SEhIoE+fPtSvX5+lS5eW9EciGIh4QxYEoVTq169PhQoVCAwMzPWWeOTGwwK3DaVcOYomOZYKPoPzP+fqUVAYY1lXv4iFRitxJPQh0zBslq3CuLi4kJ6eTlxcHA4ODvTr14/58+dz/PhxfH2Ll7YyLCxMlxAkLS2NsLAw3qtlxooI/Z9ZtY/WFNqWY4/cc+9PylnwQqvV8s477xAbG8v+/fsxNzcvVt8FwxNvyIIglIpcLs9zHlmpUhNRQDKPzNhI4g4sx7RqPSw9O+Z5jlaVStp/pzGv3Ry5We681xGxqQZNs1kULi4uALp5ZC8vL6pXr87WrVuL3VZ2QpCWLVty/fp1JEnC95X6tHVzLHZyksIo5DLaujnq9hTPnTuX3bt3s2HDBmrVqmXQewklIwKyIAil5u3tTXBwMGr14+B4JzYlVwaubBplPA+3Tkduaonjm5PzzUyVeuMEkjoDywYd8jyevaf2aXoyIJdm2Do4OJj69etjZ2fH5cuXgayqWLN6eWJk4ICcs+DF4cOH+fLLL/nyyy/p3j3/bWbC0yUCsiAIpebj44NSqeTSpcelAZ/c65pNm55C9JapaNNTcOo/HSNrh3zbTblyFJmpJRZuLfI9J7/7lBUnJyeMjIy4e/eu7rN+/foRHR1NQEBAsdrKTggCWfPH1atXx9raukwLXkRFRTFw4EBeffVVpk+fbtB7CKUjArIgCKXm5eWFiYmJXn3kvPa6SuoMHm6bgTo+Cqd+32DimH8aTLUyjvSIS1jUbYPMyDjf8/K6T1lSKBRUrVpV94YM0KJFC1xdXYs1bJ2cnMylS5d0Afny5ct4eDwOwgO9XJnQuY5B+pxd8CIjI4N+/fphamrKpk2bUCiKnzNbKDsiIAuCUGpmZmY0a9ZMbx65hoMlOQddJa2GR7vmoLp3nYpvTsK0au5tUDmlXj0Okjbf4WrIe0/t05BzLzI8Hrbevn17kYetcyYEgaw35IYNG+qdk7PghSzfCYC85VXwYuLEiZw+fZpt27ZRsWLFYrX3NJVlOc7yTKyyFgTBIHx8fNi0aZNuO5ClqRGu9hbc+f/CrvjDq0kLO4W5Wws0aUqUl4/oXW/VUH+FcsrVoyis7DGr7pnvPZ/cU/u0ZG99yqlfv3788MMPBAYG0r59+0LbCA4OxtbWlvr166NUKgkPD9d7Q86WXfCi9djFGLl4FlrwQiHLKtrxZMELf39/Fi9ezLJly2jZsnS5t8uCLnf4jYdlUo7zeSACsiAIBuHj48O8efOIiIigevXqAPjWdWLDqTtotBIZ0beArKQWaWG59yznDMiZsXfJeBCGtdebuj20T3pyT+3T5OLiQkhIiN5nLVu2xMXFha1btxY5IGcnBLl69SpArjfkbIH//EHUb5N599MpuPq+lW+FJidzeL1pzVwVmq5evcr777/P4MGDGTVqVPEfuAxFxqUWWl0rZznOdcHhtHVzLFV1rfJKJhUhT1tSUhK2trYkJiZiY5P/Bn5BEF5eMTExVKxYkY0bNzJ4cNa+4pvRyXRaVPK0koU5OK7dMykNuGTJEiZOnEhaWhqyHNWZxo0bh7+/P3fv3i1wflaSJCpWrMiYMWOYNm0aa9as4f3330epVGJhkTvI1KpVi4iICJRKJWZmZkDWsO6E6XNYv+E3bKwsaFG/Jrt35J7DTk5OxsvLCyMjI06dOoWl5dMf4s9PdjlO9f+reRWVQi7DSC4rtBxneVHUGCrmkAVBMAhHR0fq1aunN4/s7mz9VPbUPm0uLi6oVCoePXqk93m/fv148OCB3uK2vNy8eZPY2Fi9+ePatWvnGYxPnTrF7du36dGjhy4YA1y7dJ5Vc6fS1NWO5IhrLFk4P9e1kiQxfPhw7t27x44dO8pVMF565CaTdlxCpdYWKxhDVoITlVrLpB2XWHrkZhn18OkTQ9aCIBiMt7d3rmA0q5cnfguPFfuXbkFy7ql9FqpVy8oXfffuXZycHg+bt2rViqpVq7J161batWuX7/U5E4JA7hXWOX388ccAeqktVSoVw4YNw93dnVOnTjFz5kzdNEFOP/74I1u3bmX79u3UqWOYFduGUJxynACZMZHEHVqF6u5VZAojzGt7YdfxfRQWtszfH6orx/m8E2/IgiAYjI+PD5cvXyYhIUH3WVnuqX1WnkwOkk0ul+tWW2u1+e+PDg4OpkGDBlSoUAHIe4U1QFRUFCEhIXh5eVG16uMgNWPGDG7cuIGZmRl16tRh3Lhxua4NDAxk4sSJTJgwgd69e5fkMctEznKcqTeCMKveGDu/D7Fq/BrpkZe5v/YTMh6F685XJ8Xw4LcvUMffp0L7t7Fp0Zu0/0KI9v8KSZMJZJXjjCwgK9zzQgRkQRAMxsfHB0mSdG+A2fT31JbwTfn/y10GN7R+5m9DFStWxMTEJFdAhqxh6/v37xc4bJ0zIUhCQgJRUVF5viGPHj0a0H87Pn36NHPmzKF79+6cP3+en376KVfpyQcPHtC/f3/atGnD999/X6JnLCvFLceZGLwFKVOF86CZ2DTviW2b/ji+OYnMh7dRXjoEgForMWXnpfxu+dwQAVkQBIOpXbs2Tk5OedZHzt5TayQDSVO8faUKuQxTYwVWV/9g9fj+3L5921BdLhG5XE7VqlX1snVla926tW7YOi9JSUl6CUGuXLkC5F5hnZaWxp9//kmNGjVo0SIrU1n2ULWHhwcBAQEMGTKEDh066F2nVqsZOHAgkiTh7++PkVH5mZnMLsep0UqYVauPTKGf8CWvcpypN4Iwd/PCyPbx1IB5jSYY2Vcl9VpWZjSNViIgLIawh8lP50HKiAjIgiAYjEwmw8fHJ8+ADFlvyu9Xvo8qIuttRlHIWq/sxWBtajlwcFx7Dq/6DisrK1577bVcC6qetieTg2STy+X06dMn32Hrf//9F0mS9DJ0KRSKXHO8kyZNQqPRMGvWLN1nM2bMIDQ0FHd3d9RqNfPn517INWXKFAIDA9myZQuVK1cu7WMaVHHLcaqTY9CmJmBSyS3XuaaV6+i20sGzK8dpSCIgC4JgUD4+Pvz7779kZGTkedxIlUj6vvkc+LQdHaopyIy7l+scGVDdwYKhLatzcFw7NgxviYu9BU5OTvzzzz8kJibSvXt3UlKebmGJnPILyJA1bH3v3j2CgoJyHQsODqZChQrUq1cPyHpDrlOnDqamprpzJEnil19+oUKFCgwcOBB4PFT97rvvsn37dmbNmoWzs7Ne2zt27GDevHnMnTuXtm3bGupRDaao5Tgt62X1XaOMB0BhZZ/rXIWVHdr0ZCR11jxydjnO51n5GcsQBOGF4O3tTXp6OmfPnqVVq1a5jiuVSqysrHB3tqZ2wlmU/nO4++AREfFpZKi1mBjJqeFgmW8Grtq1a7N37146dOjAgAED2LVr1zMZlq1WrVq+88Rt2rShSpUqbN26FR8fH71jOROCQN4rrJctW0ZqaipffPEFMplMN1TdqFEjTp06RbNmzRgxYoTeNaGhoQwbNoy+ffvmucjrWStJOU5JrQLINbSd9ZmJ7pzsXOfZ5TifRfY2QxBvyIIgGFTTpk0xNzfPd9g6OTkZK6us2sYnT56kZcuWWJub4FHFlqaudnhUsS30F2rz5s3Zvn07//zzDyNGjKAI+Y0MzsXFhaioqDyHpbOHrbdt26Z3XKvVcvLkSd1wNeS9wnrmzJmYmJgwefJk4PFQdadOnbh48SLLly/XSzySkpJCnz59qFKlCqtXr9ZLVlJelKQcp8woa9QgezV1TpImQ+8ceDblOA1JBGRBEAzK2NiYli1b5vv2qFQqsba21q3GzhmciuO1115jzZo1rFmzhm+++aY0XS4RFxcXMjMzefgw72HS7GHrnCvOQ0NDiY+P1z3zo0ePePjwod4b8r59+3jw4AEDBw7E2NhYN1T96aefsnz5ckaOHImXl5fufEmSGDlyJLdu3WL79u3lNptiScpxKqzsANAo43Jdp1HGIzezzlUJ7GmX4zQkEZAFQTC47IVdeb25Zg9Z37p1i5iYmDyHtYtq6NChzJ49m++++47ly5eXpsvFlt9e5Gze3t5UrlxZb7V1cHAwMplMlxAkrxXW48ePRyaTsWjRIt1QdePGjblz5w5mZmbMnDlT7z4rVqxg48aNrFq1Kt/kIuVBScpxGlk7IrewJeNBWK5rVfdDMXGuWaT7PC+e354LglBu+fj4EBMTQ2hoaK5j2QH55MmTAKWuPPT5558zduxYRo8ezc6dO0vVVnHkzNaVl7yGrYODg/Hw8MDW1hbImj82MTHBzS1rFfH169e5evUqvr6+2NnZ6YaqR4wYwZYtW5g/fz52dna6e/z777988sknjBkzhrfeeqssH7fEJEni8uXL7Nu6QbeXHIpejtOibhvSwkJQJz1eVZ8Wfh51XBQW9fTn559VOU5DEQFZEASDa9WqFTKZLM9h6+TkZKytrQkODqZu3brY2+deQVscMpmMhQsX0rdvXwYNGpTv3LWhOTo6YmZmlu8bMmQNW0dFRem+fDw5RH/lyhXq1aunW5T20UcfAVmLurKHqidPnsyCBQto27YtQ4cO1V0bExND3759adasGQsWLCiLRywRSZK4evUqP/30E/369cPZ2RlPT08mT/wMo/QE3Xm6cpy1munKceb8k822dX9kxqZEb5pC0uk9JAZvIWbXbIwr1sDKs5PevZ9VOU5DeX57LghCuWVra0ujRo0IDAzkvffe0zuW8w25NMPVOcnlcn799Ve6du1Kjx49CAwMLPPhW5lMlmdd5Jy8vb2pVKkSW7duxcPDgytXrvDZZ5/pjudcYR0XF8fRo0dp0KABNWvWpFmzZjRu3BiFQsGtW7fYsWOHbrGWRqPhrbfeIi0tja1bt+bK1PU0SZJEaGgoR44c4ejRoxw9epTo6GiMjIxo0aIFH374Ib6+vrRu3Zop28/xx5U4JJm8yOU4jWwq4vzW98Qf/oWEY+uQyY0wd/PC7tXhevPHz7Icp6GIgCwIQpnw8fHhwIEDuT5XKpWYmppy4cIF3n//fYPdz8zMjF27dtG2bVu6dOlCcHCwbli5rFSrVi3fIWsAhUKhG7bu0qWLXkIQSZK4cuUKXbt2BbJKN0qSxIIFC/j2228JDQ1l165d9OnTh88++0zvC8b06dM5dOgQ+/fvL/NnfJIkSYSFhXH06FFdEL5//z4KhQIvLy/ee+89OnTogLe3t6661Pnz53n33XfZdeQUlYcvA6DS4NlFvqdJxeo4D/i2wHM0WokhrZ7vAhNiyFoQhDLh7e1NaGhorlXIycnJKJVK1Gq1wd6Qs9na2vL3338jl8vp2rUr8fHxBm3/SQUlB8nWr18/7t69y7Zt27Czs6Nq9VpcuZfIwXNhKI0r4FbPg8zMTPz9/XF2dsbR0ZHZs2fz1Vdf8dNPP1GxYkW+/vprXXt79+7l22+/5bvvvqNjx45l+nyQFYBv3brF6tWrGTJkCC4uLtSpU4eRI0cSFhbG0KFD+fvvv4mPjyc4OJhZs2bRuXNnLC0tOXHiBK+//jpNmzYlJCSExd9Opk0t+xeuHKehyKQibOAranFlQRCEbJGRkbi6urJjxw569eql+9zOzo42bdpw7NgxEhISyiSpx7Vr1/D29sbT05N//vlHr46wIX355Zds3LiRO3fu5HuORqOhWoPmmHr4YVyjCWrTCrn241qTTtTp/Yzq5Mkfv67AxMSEKVOm0K9fP72f3+3bt2nWrBk+Pj7s2rVLl1zE0MLDw3VvwEeOHCEyMhK5XE7Tpk3x9fWlQ4cOtG3bNs94IEkS+/fvZ9asWRw/fpwGDRowefJkBg4ciJGREZFxqfgtPIbKgNuTTI3kHBzX/plWACtIUWOoGLIWBKFMuLi44OLiwokTJ3QBRZIklEol9+7dw8vLq8wybNWvX58///yTjh07MmTIEH7//Xe9RBqGUq1aNaKiotBoNHm2HxmXypSdlzDt/R2SVkOmPO8+JGOG9Suv81u8gnTPgfz8vi9j3h1Et27dePPNNwFIT0+nT58+2NnZsX79eoMG44iICL0h6PDwcGQyGU2aNKFv3774+vrStm1bXbnIvGi1Wnbu3MmsWbM4e/YsXl5e7Ny5k549e+r1Nbsc56QdhqvO9KzLcRqKCMiCIJSZJwtNqFQq1Go1t2/fZtSoUWV67zZt2uDv70/v3r355JNPWLJkicEzWLm4uKDRaIiOjqZKlSp6x/xDIpi6+wrq/+duluUTjLNlHzev0YRxB2JROjViyZLFuj5//PHHXLt2jeDgYL2tTyURFRWlC75Hjhzh1q2sBVaNGjXijTfeoEOHDrRr165IK+AzMzPZvHkz33//PdevX+fVV1/l4MGDvPrqq/n+vAd6uRKjVDF/f+5tccU1sXPdZ16O01BEQBYEocz4+PiwdetWUlNTsbCwQKlUApCYmFjiDF3F8cYbb7B8+XJGjBhB1apVdakoDSVncpCcAXnpkZslDjYSMtTIsek0ir/uaBhTC9asWcMvv/zC2rVradKkSbHbvH//vt4b8M2bN4GshCTdunXD19eX9u3b4+DgUEhLj6WlpbFmzRrmzZvHnTt36NmzJ2vXri3yuoAxvu44WpnqvrQUVHTiSQq5DCO5jBk9PV6YYAwiIAuCUIa8vb1Rq9WEhITQvn17XUCG0icEKaoPP/yQe/fuMWXKFCpXrsywYcMM1nbOgJz9PPP8DzJt2jQyHoShSUlAZmyKsYMLNi17Y+GedY4kaUm5dJjU0CAyom+hTU/GyNYZi/rtsG3ZG5lR1jam+ftDSYuL5uuPPuKDDz4oct+jo6P1AvCNGzeArKH8Tp06MWvWLNq1a4eTU/G3CSUlJbF8+XJ++OEHYmJiGDhwIHv27MHT07PYbQ30csW7tiNTdl4iICwGhVxWYGDOPt6mlgOzenm+EMPUOYmALAhCmWnYsCE2NjYEBgbSvn17kpOzCshXrlw5V+nAsjR16lTu3bvH+++/j7Ozs26rUWnZ2dlhbm6u2/oUGZfKoj+C0GakYenZEYWVPVKmitQbQTza/i32XcZg3aQLUqaK2L8WYVKlLtZNuyK3sEUVdZ3EwE2k37mA86BZuuHeZScfUa+5N4sXL863H48ePdLtAT5y5AjXrl0DoG7dunTo0IHp06fToUOHUv3MY2Ji+PHHH1m6dCmpqakMGzaMiRMn6rKMlZSLvQUbhrfkZnQyv52K4EjoQyJiU/UWvsnISvrhW8eJIa1cn/vV1PkRAVkQhDKjUCho06YNgYGBpKjUXI5KwKRyHeq1bvlUy+TJZDJ++uknHjx4QN++fTly5AgtWrQwSLs5tz5N2XkJs1rNca7RTO8862bdub/uU5L+3YV1ky7IFEY4D5mHWbXH6SKtm3TByNaZxMDfSL9zAfMaTQCQ5ArcBn6tt1I8NjaWY8eO6d6AL1++DIC7uzsdOnTg66+/pn379rnmtUvi7t27LFiwgJ9//hmAkSNH8tlnn1G1atVSt52Tu7M103p6MA0PUlRqwmNTilSO80Uitj0JglBmbkYn88nSbVyKlTCydc791mNvgW9dJwa3dMXduezfelJTU/Hz8+PmzZsEBQXh7u5e6jb9/Pywt7dn5pLVdFp0PN/zHm6djurBTVw+3pjvORkPw7m/Zgx2fiOwad5D79ikRplcP5X1Bnzx4kUAatWqpduG1KFDB4MmCQkLC2POnDmsX78eS0tLxo4dy8cff4yjo6PB7vGyENueBEF4ZrK3+wSExSCXOaGwJdfeWwm4E5fKhlN3WBccTls3xzKfF7SwsGDPnj14e3vz2muvERQURKVKlUrVZrVq1QgNDeW3UxF6c6DajHQktQqtKpW0m6dIu3UGi/ptC2xLk5KVyERhof9LW9JqmLLmb2zD9tOhQwfGjx9Phw4dcHU1/IKmixcv8v3337NlyxYqVqzIzJkzGTFihHgZewpEQBYEwaCe3O5T2OLZ7AAWdCsWv4XHmN7Tg4FluHLWwcGBffv20aZNG15//XWOHj2KtXXJ385dXFw4dOgQR2481FuQFH/4F5Tn92X9g0yORZ3W2HcueKtX0qntyEwtMK+lP+Qtkyuo/2pfThxYWeJ+FiY7y9aff/5J9erVWbp0KcOGDcPc3LzM7inoE6kzBUEwmKVHbjJpxyVUam2xtrFAVmBWqbVM2nGJpUdullEPs9SoUYO///6bsLAw+vTpQ0ZGRonbcnFx4X5MPBFxqXqf23i9gdPA73B4fRzmtZohSVrQZObbTmLQFtLDz2PXfhhyM6tcx+8lZZCiUpe4n3mRJIkDBw7g6+tLmzZt+O+///j111+5efMmo0aNEsH4KRNvyIIgGIR/SASzfjtAYuCmArf8AKju3UB56RAZ926Q8SgctBqqT/pTd3z+/lAqWpmW6R7Txo0bs2vXLrp06cJ7773Hr7/+WqLsV9WqVUNu45RrSN7YwQVjh6xtUVaeHYn2/5qH22ZQ6e0fciXMSLl2nITjG7Bq1BnrV7rleR8JCI9NwaOKbbH7+CStVssff/zBrFmzOH36NM2aNWPHjh288cYbZZaOUyicCMiCIJRaZFwqU3dfQZP0sNAtPwBp/51GeWE/Jk41MKpQCXVcVK42v9l9hTa1Hct0TtnX15dff/2VgQMHUqVKFebOnVvg+UqlkqioKO7evUtkZCR3797l4sWLyBTGBV4HYFHPm7h9S1HHRWHs8HjxVdrtc8T8+QPmtZtj32V0gW1klDL/c3YRi++//55r167RoUMH9u/fj5+fn8GzmAnFJwKyIAilNmXnJdRaCfPaXpjX9tI79uSWHwDrV7ph06ovcmNT4vYvJzmPgKzWSkzZeYkNw8s2gciAAQO4f/8+48aNQyaT8eqrr3L37t08/yQkJOhdW7FiRSpXroxUwFB0NilTBYBWlaL7THXvBo92zMS0kjuOb04qNL2miVHJ3l7T09NZu3Ytc+fOJTw8nO7du/PLL7/Qpk2bErUnlA0RkAVBKJWb0ckEhMXke1wmV2Bk7YjqweN5YYVl4bmYNVqJgLAYwh4mlyoRhCRJxMXF5Rtks/8AzJ07l7lz5yKTyahUqRLVqlWjWrVq+Pr66v5/9p8qVapgZmaGJEnYOFQka1BZhiYlAYVlBf0+aNSkXD6MzMgUY8esYfjMmEgebp2Oka0TFftNRW5sWuBzyIAaDpbFevbk5GRWrFjBDz/8wMOHD+nfvz+7du2icePGxWpHeDpEQBYEoVSe3O4DJdvykxeFXMbGkxFM6+mR53GtVsujR48KDbbp6emP21QoqFKlii6wenp66gLs2rVrOXLkCH/++SedO3cuUh9lMhnVnCsi16aRIrcgdt9SpIxUTF0aorB2QKOMJ+XqUdSxd7F7dThyE3O0qlSit3yDNl2JTcvepIWF6LVpbFcJ06r19T5zdbAocnKM2NhYFi9ezJIlS1Aqlbzzzjt8/vnnBtl3LZQdEZAFQSiVJ7f7QMm2/ORFo5XYdzECz8zreQbaqKgoMjMfDxcbGxtTtWpVXbBt3rw5Li4uem+2zs7O+ZZi7N27N927d6dv374EBAQU+U3SxcWFhKRw0u09sKzfFuXFAySf+wttWjJyE3NMKrlh1+Fd3cI2bVoymqRHACQcXZerPcuGHfUCshyJdm6FJ+SIiorihx9+YOXKlWi1WkaMGMH48eMNmjBEKDsiIAuCUGJKlTrXdh/I2vJjUc8HTXIsqdcDC93yU5D7Sg39Bg3BVIEuqNaoUQMfH59cw8gVK1Ys1SphExMTtm/fTocOHejatStBQUHUqFGj0OtcXFyIvX4UTasGWDZoj2WD9gWeb1TBWW9VeWG0yNgw9QOq3H+Hd999Vy+NJsB///3H3LlzWbduHebm5owbN46xY8dSsWLFIt9DePZEQBYEocTuxKbk2u4DxdvyUxiZTEbghRu0rufyVFYCW1tb89dff9GmTRu6dOnCiRMnCi1LWK1aNf7++286DnEk6FZssfdgF0Qhl+FZ0QSz+jUYPXo0M2bMYPz48YwcOZLbt28ze/Zs/P39cXR0ZMaMGYwaNUpk1XpOiQ1ngiCUWFG34VjU8ybj/s08tzcVhbml9VPdluPs7My+ffuIjY2le/fupKbmHgXIycXFhQcPHjC9Rz2M5DJyJwotOSO5jCVvt8Hf35/r16/TrVs3Jk2ahL29PY0aNeL48eMsXryY8PBwvvjiCxGMn2MiIAuCUGJF3YaT15afsriPIbm7u/PXX39x8eJFBg4ciFqdf5YsFxcXMDLlVuR9fKtA1ppow+jlkoGLvQWSJBEZGUl4eDgajQZLS0uMjY2Jj4/nzp07JCYmGuyewrMhArIgCCVWw8FSL/RoUhJynZPXlp9ikSR2bVxFSEhIgUGxLHh5ebFt2zb++usvRo0axZPF8W5GJzNt9xWmnQaXz7by/rb/2BdRuuQdOVWLPcu8Ub0ZPXo0rVq1ws/Pj4SEBLZt20ZMTAyRkZF8/PHHrFixgho1soa079y5Y7D7C0+XKL8oCEKptJ93hDv/X9j1cPt3BW75sWnRCwB14kOUlw8DkPZfCBn3bmDbdggARrZOWDV8Vde+cXo8934eQWpqKtbW1vj4+OjKDb7yyisYGZX9Uph169bx7rvvMnXqVKZNm6ZXzerJLV9PkiSpWMPtCrkMI7mMqd3rowkN4NNPPyUuLo7q1auzYsUKXnvttVztxcfHs2zZMhYtWkRiYiKDBw9m0qRJ1KtXr8TPLBhOUWOoCMiCIJTKtN1X2HDqDhqtRMrVYygvHiDjUbjelh/rZj30clmn37lI9OYpebZn6tKQSoNnA1nBaWjL6kzp4s6ZM2c4evQoR48eJTAwkNTUVKysrHIFaGPjwtNYlsT333/PlClTGDnvVw4nOqLWSsVavFVYYM4O7G1q2dNYdYWVP8zi9u3bdO3alSpVqrB69WpGjx7Njz/+mO+2LaVSyapVq5g/fz7379+nT58+TJkyhaZNmxb7eQXDEQFZEISn4mZ0Mp0WHS+z9g+Oa5crU1dmZmauAJ2SkqIXoNu3b0+zZs0MFqAlSaLL+EXcMK1DdlYuQ5CRlfTDu6YdsrAA1v74PQ8ePKBfv35MnjyZJk2aAPDzzz8zatQo+vbty6+//oqpaf6ZvVQqFevXr2fOnDncunWLrl278uWXX+Lt7W2QPgvFIwKyIAhPzdDVp8pku0+bWg5FymWdHaCPHTvG0aNHCQgIICUlBUtLS7036NIE6Hn+B5k2bVqhlaySz+8j5cpRMmPvolUpUVg5YObqSQXvQRhVcNadN7pDbbp5VsZWnsHqlT+xePFikpKSePvtt/niiy+oU6dOrj7s2LGDt956C29vb3bu3Fno72O1Ws3vv//OrFmzuHr1Ku3atePLL7+kU6dOopjEUyQCsiAIT01kXCp+C4+hKmU1opxMjeQcHNe+RNWeMjMzOXv2rN4btFKpxNLSEm9vb12Abt68eZECdGRcKq1Gzyfu1B+YVq2nV8lKdfeKXiWr2H9+QspUYVKxOnIzK9SJ0SRf+Ae0Wiq/twQj66w9zSYKGX6qYH5dvhCtVssHH3zA+PHjcXUteOHbsWPH6NmzJ25ubvz11184OzsXeD5kpRjdvXs3M2fO5PTp0zRv3pwpU6aIcotPiQjIgiA8Vf4hEUzacclg7c3p7WmweshqtVovQAcEBKBUKrGwsMgVoE1MTHJdn98IgKTVcH/dp0jqTKp+uCLf+6sehPFg3adUaP8Otq376a5V373CsBpKPvnkE5ycnIr8PBcuXKBLly5YWlqyf/9+atWqVaTrJEni4MGDzJw5k2PHjtGgQQMmT57MwIEDn8riuJdVUWOo+GokCIJBDPRyZULn3MOsJTGxc12DBWMAIyMjWrRoweeff85ff/1FfHw8//77L9OmTcPY2JjZs2fj7e2NnZ0dnTt3ZubMmZw4cYKMjAxdNau8huOzK1lpVcqC72+bFWxz7sOWyRUYuzbi3U8mFSsYAzRu3JigoCBkMhlt2rTh/PnzRbpOJpPRqVMn3ahBjRo1GDp0KHXq1GHlypV6RTiEp0+8IQuCYFCb/41g8razIJNDIfV9c8re7jOjp4dBg3FRqNVqzp07pzcHnZSUhLm5Oe4Dp5Dk3ATp/4u4nqxkFX9kDRb121Kx50S9NjVpSaDVok56ROKJzaSF/YvTgG8xr/l4xXP2KvL8qlkV5uHDh3Tr1o2bN2/yxx9/0KFDh2K3cf78eWbNmsW2bduoVKkSEyZM4MMPP8TKyqpEfRJyE0PWgiA8E1u2bGHwh2PpOOkXrifKkCOhLWhFsqQFmZy2bo7M6uVZojljQ1Or1Zw/f56jR4/y870qZJja6o7F7luau5JV149RmOkHsDvzeukKasjNbbD1HoRN8x657lXdwYJjE3xL3Nfk5GR69+7N8ePH2bRpE3369ClROzdu3GD27Nls3LgRW1tbPvnkE8aMGYOdXeG1q4WCiYAsCMJTp1KpaNCgAfXr1+fjjz+mx+APGPXDJs4/zCQiNlUvw7MMsJapeHDuMAdXfEOj6sUbtn0alCo1ntP+0et3Zmwk6uRYXSUrFEY4vPYRCkv9wJV+5yKSOoPM2EhSrhzFop6Pbv44JxlwedprRa51nJeMjAzeeecdfv/9d3766SdGjhxZ4rbu3LnDvHnz+OWXXzAxMeGjjz5i3LhxRVo8JuRNBGRBEJ66RYsWMX78eC5dusTWrVtZvHgxMTExyGQyUlRqwmNTyFBrMTGSU8PBkgd37+Dm5oa/vz8DBgx41t3P5cq9RF5fEljgOdH+X6NVKQusZJUZf5/7q0dTwfddbJrlfkve+7EPHlVs87iy6LRaLZ9++ilLlixh2rRpfPPNN6Xa2vTgwQMWLlzITz/9hFqt5v3332fixImFrgIXchOLugRBeKri4+OZMWMG77//Pg0aNODkyZO0atVKFxQsTY3wqGJLU1c7PKrYYmlqRO3atWnRogWbN29+xr3PW1GqWRWlkpWxXWVMnGuRcuVoie9TGLlczo8//sjMmTOZNm0ao0ePRqPRlLi9SpUqMWfOHCIiIpg8eTKbNm2idu3avPfee9y4caPU/RVyEwFZEASDmDVrFhkZGUyfPh2tVqsLyIUZNGgQf//9NwkJCWXfyWIqSpGpolay0mZmIKnyLuMYH/soV+GKkpDJZEyZMoVVq1axcuVKBgwYUOqV03Z2dnzzzTfcuXOH2bNns2/fPurXr8+AAQOKvLpbKBoRkAVBKLXw8HAWL17M559/TqVKlQgNDSUhIYHWrVsXem3//v3JzMxk586dT6GnRSdJEj/Nma4LlEWpZCVpNWjSc2+BUt27QeajcEwqueV5H7+WjalUqRKvv/46U6dO5c8//+TBgwcl7vv777/Pjh072Lt3L127djVIaUYrKyvGjx/PrVu3+Omnn/j3339p2rQp3bt3JygoqNTtC2IOWRAEA3jrrbc4evQoN2/exNLSknXr1vHee+8RHx+PrW3hc6O+vr4YGxuzf//+p9Dbopk7dy5ffPEFLh+tRm7jXKRKVtp0JXeXDcOifltMHF2RGZuR+Sgc5aWDyBQmVHp7Psb2VfXuU83WhC880gkJCeH06dOEhIQQExMDQNWqVWnevLneH0dHxyI/Q0BAAD169KBmzZr8/fffVKpUyWA/H7VazebNm/n++++5du0aHTp0YMqUKfj5+Ym0nE8Qi7oEQXgqTp8+jZeXF6tWreL9998HYMSIEZw4cYLLly8XqY3swgn37t0rF6t5N27cyNChQ6lRowaqhj0x8+xM8pXCK1lJmkzij6wl/c5F1EkPkTIzUFjZY16jCbZtBujlsoasbF020ef5qmtdevXqhYmJCZIkERkZqQvOp0+f5vTp07oh/Ro1augF6GbNmlGhQoV8n+XSpUu89tprmJub888//+DmlvstvTS0Wi27du1i1qxZnDlzBi8vL6ZMmULPnj1FWs7/EwFZEIQyJ0kSvr6+xMTEcOHCBV1ZwMaNG+Pl5cUvv/xSpHZiY2OpVKkSCxcuZMyYMWXZ5UIdPHiQrl274ubmRlhYGGt37OOroLLLYFXl3C8E/7MLZ2dnhg8fzocffkj16tX1zpEkiVu3bumCc0hICGfOnEGpzBoed3d31wvSTZs2xdr6cYWs8PBwXnvtNRISEvj777955ZVXDP4ckiSxf/9+Zs2axfHjx/Hw8GDy5MkMGDDgpU/LKQKyIAhlbs+ePfTs2ZO//vqLrl27AlmJKipUqMDPP//M8OHDi9xW9+7dSUhIIDCw4G1GZen8+fO0a9cOFxcXrl69yooVK+jYsSPd5v2FqkJ1ZHLDBZac1ayuXLnCihUr+PXXX0lOTqZbt26MGjWKLl265Fv7WKvVEhoaqgvSp0+f5uzZs6SlpSGTyahXrx5eXl66IF2lShX69evH9evX2bVrF6+++qrBnuVJgYGBzJo1i7///ptatWrxxRdf8M477xRYMrKk8tpOV5o93WVBBGRBEMqUWq3G09OTqlWrcuDAAd284eHDh+nYsSOXL1/Gw6PoKSGzh4nv3LnzTPa63rlzh1atWmFjY8OtW7cYMWIETZs25ZNPPsG5VgPkPaaSqZHAQPOjeVWzSklJYfPmzSxfvpyzZ89So0YNPvzwQ4YPH16kfNdqtZpr167pBenz58+TkZGBQqGgXr16JCQkEB0dzbfffsu4cePKJEhmO3v2LN9//z3bt2+ncuXKurSclpaWpWr3ZnQyv52K4MiNh0TE5U4442pvgW9dJwa3dMXd2Tq/Zp4aEZAFQShTK1as4KOPPuLMmTM0bfo4P/OsWbOYM2cO8fHxxZpDTE5OxsnJienTp/P555+XRZfzFRcXh7e3N0qlkpSUFDw9PbGzs+OPP/5g+PDhzJo1i24fzySmVmeD3bOgalaSJBESEsLy5cvx9/dHo9HQp08fRo4cSbt27Yq1aCojI4PLly/rAvS///7LxYsXkSQJuVxO06ZNdW/RXl5eNGjQoMQ1o/Nz7do15syZw8aNG6lQoQKffvopY8aMKXDuOy+RcalM2XmJgLAYFHJZgfW3s4+Xh5SsIiALglBmkpOTcXNzo0uXLqxfv17vWM+ePUlPTy/Riun+/ftz8+ZNzp07Z6iuFiotLY1OnTpx9epV7O3tSUtLQ6PRoFarWbVqFV26dKFnz54EBwczcskutoWqSn3PiZ3rMtq3aIur4uLiWL9+PStWrCA0NJQGDRowcuRI3n777SKtYM9Lamoqw4cPx9/fn8aNG+verLVaLWZmZjRp0kRvTrpevXr5Dp0XR3h4OPPmzWP16tWYmJgwevRoxo0bV6S3f/+QCKbuvoJaKxUYiJ+UXbRkek8PBj7loiXZRKYuQRDKzLx580hKSuK7777T+1ySJIKDg4uUECQvgwYN4vz581y/ft0Q3SyURqNhyJAhnDlzhjp16hAZGcm9e/do0qQJly5dokuXLrzxxhsEBQWxd+9e5r/rx+zenpgayVEU87enQi7D1EjOnN6eRQ7GAPb29owbN47r169z6NAhGjRowGeffUaVKlX44IMPOHv2bDGfGiwsLNi0aROzZ8/mwoULeHt7Ex8fT2BgILNnz6Z27docOHCAYcOG0bBhQ2xtbWnXrh2fffYZmzZtIjQ0FK22+NnFatSowbJly7h9+zYjR45k6dKlVK9enbFjxxIZGZnvdUuP3GTSjkuo1NpiBWMAjVZCpdYyaccllh65Wew+P03iDVkQhGKJiorC3d2dTz75hO+//17v2H///Yebmxt79+6lW7duxW47PT0dZ2dnxo0bx7Rp0wzU47xJksTHH3/M8uXLad++PUeOHMHExIT58+czZswYVCoVb775JsePH2fv3r34+j6uyBQZl8q7y/cTpjRG0mqQFVBmsiyGTu/fv88vv/zCzz//zN27d/Hy8mLUqFEMGDAAC4vitb927Vo++OADevbsyaZNmzAzM9MdS0xM5Ny5c3qru2/dugWArYMTDVv7Uq9BQxo2qEfn1k2p716rWMPpcXFxLFmyhB9//BGlUsnQoUOZNGkS7u7uunP8QyL43P9fkk7tQHXvBhn3Q9GmK3Ho9ilWjfxytZlyLYCkkF1kxt5FJpNjXLE6Ni37YOHmBRQ8VVBWxJC1IAhlYvjw4ezevZuwsLBcQ6a//fYbQ4YMISYmBgcHhxK1P2zYMIKDg7l+/XqZJpiYM2cOkyZN4pVXXuHs2bNUrVqVf/75Bw8PD1QqFb179+bw4cP8+eefdOzYMdf1nTt35mzYPbS1vXFu8iqpCkv9/koSKB8xrHMLhrRyxc3J8IuL1Go1e/fuZcWKFfzzzz/Y2toybNgwRo4cSd26dYvczp49e+jfvz8tWrTgjz/+yHdu92Z0MquPh3Lo2gMepUmQo6ymJElISQ9xUD3Au5KEn5cHzZs3p2rVqoX+e0xOTmblypUsWLCAhw8f0q9fP6ZMmYJdNTf8Fh4jJeY+USuGo7CpiFGFSqgiLuUZkJNO7yH+4ErMa3th7uaFpM5EeekgmQ9vU7HXFCzqtslzMV1ZEwFZEASDu3jxIk2aNGHx4sV57hf++OOP2b9/f6mKD/zzzz906dKFM2fOlMl+WXi8ortSpUo8ePCARo0acerUKczMzFCpVPTt25cDBw6wZ88eOnXqlOv6iIgIqlevjpmZGSYmJlhbW9OjV1/GTJ6u235z9dQx+vd+g//++49atWqVyXPkdOvWLVauXMmaNWuIiYnh1VdfZdSoUbzxxhtFWqR14sQJunfvjqurK/v27aNy5cq6Y8VZTJVd3zrt9lni9i3DwQzdgrHsOen8kr+kp6ezdu1a5syZw507d/AYvZxUGxc0mZlo05UorOxQ3b/Jg/Xj8gzIUSs/RG5mqVd5S6tK5e6ydzBzbYRT36/1tps9LWIOWRAEg/v8889xc3NjxIgReR4vzfxxto4dO1KxYsUyqwB18OBB3nnnHYyNjXn48CGenp6EhIRgZmZGRkYG/fv358CBA/zxxx95BmOADRs2YGZmRnp6OvXr1ycqKoq3+vfRq2bV+dX2KBQKDh06VCbP8aRatWoxZ84c7t69y8aNG1GpVPTr1w9XV1e+/vrrAudoAby9vQkMDCQ2NpY2bdpw82bWfKt/SAR+C48RdCsWoPA5XFlWWLGq9Qo1PvqFDsOnoNFoWLJkCd27d6dSpUq4uLjQq1cvZs6cyf79+4mNzWrbzMyMUaNGcfPmTeb9vBGltQtaCWRGxiis7Aq6KwDajFQUFhX03sjlphbIjc2QGZvo+h8QFkPYw+RC23vaREAWBKFIDhw4wD///MPs2bPzfONKTU3lwoULRSooURAjIyP69evH77//XqKFQwUJCAiga9euaLVaLCwsqFq1KocOHcLExITMzEwGDhzIvn372LlzJ6+99lqebUiSxLp163TznBUqVKBy5cp4e3vrnWdra4uXlxcHDx406DMUxtTUlMGDBxMYGMjFixfp3bs3P/74IzVq1OCNN95g3759+f5cPTw8CAoKwtTUFG9vbyZvPFryxVQSZEoyTmpr8/rni3n06BHh4eFs3bqVwYMHk5yczLx583jttddwdHSkVq1a9O/fn7lz5xIQEECsXX0U8uJNWZi5epJ26wxJp/egTogmMzaS2P3L0apSsWneU3eeQi5j48mIYrX9NIgha0EQCqXRaGjWrBlWVlYEBATkOScYGBhI27ZtOXfuHE2aNCnV/QICAmjXrh0BAQH4+PiUqq1s/v7+DB48GMhK7Xnz5k2CgoLw9PQkMzOTQYMGsXv3bnbs2EH37t3zbSf7OatXr86dO3eoXLky/fr148cff8x17tdff82KFSuIjo5+pnmdk5OT2bRpE8uXL+fChQvUqlWLESNG8O6771KxYsVc58fExPDqB1/xyLYuKZcOkR5xCXViNHJzG0yr1KVCu6G6IhmSpCXl0mFSQ4PIiL6FNj0ZI1tnLOq3w7Zlb2RGWW+meS2m0mq1upSg2Xm7z549i1KppMqInzG2q5KrbwUNWWtSEojZPY/0Oxd0n8nNbXDq+zWmVevrnVvdwYJjE3x5GsSQtSAIBrNx40YuXLjA/Pnz812gExwcjIWFBQ0bNiz1/by9valWrZpBhq0zMjL45JNPGDRoECYmJrz77rucP3+e3377DU9PT9RqNYMHD2b37t1s3769wGAMsG7dOlxdXYmMjMTZ2Zn79+/Tv3//PM/t2LEjMTExXLx4sdTPURrW1taMGDGCc+fOERQUhLe3N9988w3VqlXTvU3nfDdLk1ugavgGScHbSL0RhFn1xtj5fYhV49dIj7zM/bWfkPEoHMiqBx371yI0qYlYN+2KXccPMKlch8TATURvmapr95vdV4iM068HLZfLcXNzY+DAgSxYsIBjx46RkJDA6QuXMbarTHHJjE0xcqiGZcOOOL45CYdun6CwsufRjllkxt/TOzciNpUUlbrY9yhLIiALglCg1NRUvvzyS/r161fg/PDJkyfx8vIySCEBuVzOwIED2bp1K2p1yX9pXrt2jRYtWrBkyRIsLCz49ttvWb16Nd9//z09e/ZErVYzZMgQdu7cydatW+nRo0eB7aWkpPD777/TunVrtFotFStWpGrVqvkO07du3Rpzc/OnNo9cGJlMRuvWrfn111+Jiopi1qxZ/Pvvv7Rt25ZGjRrx008/kZSUxJSdl1BrJaxb9KLqR2uw7zQC68avUcF7IJUGz0HSakg6uS2rTYURzkPmUfntBdi2GYB1ky44vv4ptt6DUEVc0r2tqrUSU3ZeKrSPCoUCM8dq5FzBXVSPds1Gk/gQx+7jsKzng1WjTji/9T2SRk3CsQ1650pAeGxKse9RlkRAFgShQIsWLeLhw4e59hznlJ0QpLTzxzkNGjSIR48ecfjw4WJfK0kSy5Yt45VXXuG///7DxMSEJUuW8PXXXzNkyBA+//xzNBoN77zzDtu2beP333/njTfeKLTdHTt2oFQqSUxMBLL2A/fr1y/f4WhTU1Patm371OeRi8LBwYHx48dz48YN9u/fj7u7O2PHjsXFw4uAsBg0WgmzavWRKfTXCxjbV8XE0ZXMmKxFYjKFMWbV6udq36JO1t+F7POKs5gqQ138tQOZCQ9Iv3UGc3f91dMKc2tMqzVAFXXVIPcpSyIgC4KQr4cPHzJ79mxGjx5N7dq18z0vMjKS+/fvl3qFdU5NmzalTp06xR62fvDgAa+//jpjxozB3d2dlJQUVqxYwVdffUXjxo1ZtWoVWq2WYcOG8fvvv+Pv70/v3r2L1PbatWtp3749J0+eRKFQEBsbm+9wdTY/Pz+OHz9ORkZGsZ7jaZHL5XTq1IkdO3Zw584d2rzzBZJWk+/5kiShSU1AblHweiJNSjwAihznFXUxlYlR8UOT9v/3Q8odZCWtOs9nKsl9ylL56o0gCOXK9OnTkcvlfPXVVwWed/LkSQCDBmSZTMbAgQPZsWMH6elFq0f8xx9/4OnpydmzZ3n33Xe5dOkSixcvZtmyZSgUCnbt2oWxsTHvvfcemzZt4rfffqNv375Fajs8PJwjR47QuXNnEhISsLe3x8XFhZYtC97P2rFjR1JTU3U/o/KsatWqpNrWLDDzWMqVo2iSY7Gs17bAtpJObUdmaoF5rWa6zzRaiSOhDwvtRw0Hy2IPWBvZVQGZnJRrAXrz4eqkGFR3r2LirP+FUvb/+5QnIiALgpCnGzdusHLlSr788stCs26dPHmSmjVr5pvwoaQGDRpEUlISf//9d4HnKZVKPvjgA958803dgqW1a9fy1VdfceLECa5cucIff/yBk5MT77//Phs3bmTjxo0MGDCgyH1Zv349VlZWujfdtLS0AoerszVp0gR7e/tyM49cEKVKTcQTC69yyoyNJO7Ackyr1sPSM3f2smyJQVtIDz+PXfthyM2s9I4VZTGVpakRrk9k0ko6s4eEE/4oLx4AIC3sXxJO+JNwwh9tegoKC1usGvmhirhE9OYvSTqzh8TgLTzYMAEpU4Vtq3567bk6WJS7usnlqzeCIJQbkyZNolq1anz88ceFnmuIhCB5qVevHk2aNGHz5s306tUrz3NOnTrFkCFDuHfvHj///DPVq1fn9ddf591338XU1BR/f3+2bNlCkyZN+PDDD/n111/59ddfGTRoUJH7odVqWb9+Pf369eOPP/4Asr4EFDZcDVlDwq+++ioHDx5k+vTpRb7ns3AnNoX89sFqlPE83Doduakljm9OzvctOuXacRKOb8CqUWesX8mdzzx7MZVHlYIrVfnWdWLDqTu6/c9Jp3aiSXr8dp0aGgShQQBYefgiN7PE/rXRGDvVRHnhAAnHfgXApJI7jt0/w8z18ep/hVyGb53CK0w9bSIgC4KQS0BAALt27eK3337TKzaQF5VKxdmzZ4sV4Ipj0KBBTJs2jeTkZKytH+eDVqvVzJo1ixkzZtCsWTP++usvUlJSaNeuHX5+fnTt2pX+/fszbdo0+vTpw6hRo1izZg3r16/X7UcuquPHj3P79m1++ukn1q9fj7GxMZUrV6ZFixZFut7Pz4/Ro0eTlJRUrnM55LfISZueQvSWqWjTU3AeMgcj67xHTNJunyPmzx8wr90c+y6ji32fnAa3dGVdcLjun6t9tKbQa2RyBTbNemDTrODV8hqtxJBWz6YUY0HEkLUgCHokSWLChAk0a9aMgQMHFnr++fPnycjIMOgK65wGDBhAWloau3fv1n3233//0a5dO6ZPn86XX35JYGAgxsbGdO3alTp16vDNN9/w7rvv0rdvX7766ivGjBnDqlWrWLNmDUOHDi12H9atW0ft2rVJSUlBq9Uik8no379/kYtfdOzYEY1Gw/Hjx4t976cpr0VOkjqDh9tmoI6PwqnfN5g45h3IVPdu8GjHTEwrueP45qQC56GLspjK3dmatm6Oxc7WVRiFXEZbN8cyKfZRWiIgC4KgZ8uWLfz777/Mnz+/SNmlgoODMTU1pXHjxmXSn+rVq9OmTRs2b96MJEmsXbuWJk2aEB0dTWBgINOnTyc5OZmuXbtiYWHBunXrGDhwIHXq1GHt2rV88sknLF++nF9++YVhw4YV+/7Jycls3bqVYcOGsWvXLgBdzuuiql27NtWrVy/388hPLqaStBoe7ZqD6t51Kr45KVe2q2yZMZE83DodI1snKvabitzYNN97FGcx1axenhgZOCAbyWXM6uVp0DYNRQxZC4Kgo1KpmDx5Mj169KBDhw5FuubkyZM0a9YMExOTMuvXoEGDGDduHD169GDv3r28++67/Pjjj1hbW5OWlkbPnj2JiYnh6NGjjBgxApVKxa5du/jyyy9ZtmwZP//8M++9916J7r1t2zbS0tIYOnQoTZs2BcDFxYXmzZsXuQ2ZTEbHjh3L5X7knLIXU935/8Ku+MOrSQs7hblbCzRpSpSXj+idb9XQF60qlegt36BNV2LTsjdpYSF65xjbVdIL5MVZTOVib8H0nh5M2lF4QpGimtHT46mWXiwOEZAFQdBZtmwZERER7N27t8jXnDx5sshbh0qqYsWKqNVqjhw5wrZt2+jTpw+QlWN78ODBnD17lsOHD7NgwQJOnz7NkSNHWLhwIYsXL2bFihV88MEHJb732rVr6dixIwkJCcTHxyOXyxk0aFCxazX7+fmxZs0aHjx4QKVKlUrcn7KWczFVRvQtIGtFc1rYv7nOtWroizYtGU3SIwASjq7LdY5lw466gFySxVQDvVyJUaqYvz+0mE+S28TOdXPl0y5PREAWBAGA+Ph4vvvuO95//33q1897aPJJ9+/f586dO2WywhqythZNnjyZH3/8EXt7e+rVq6cLxpIk8cknn/DHH3+wa9cugoKCWLt2LevXr2f79u0sWrSIZcuW5VsqsijCwsIICAhg48aN/PXXX8hkMrRabbGGq7O9+uqrABw+fJi33nqrxH0qazkXU1UaPLvQ840qOFN90p9Faruki6nG+LrjaGXK1N1XUGulYlWeUshlGMllzOjpUa6DMYg5ZEEQ/m/mzJlkZGQwbdq0Il9TFglBsl24cAEvLy9WrFjBokWLmDNnDsHBwdy7l1UkYO7cuSxbtozly5ejUCiYOHEin3/+OVeuXGHBggUsWbKEjz76qFR9+PXXX7GxsaFXr17s3LkTSZJwdnbmlVdeKXZbzs7OeHp6lvt55PK6mGqglysHx7WnTS0HXXuF3Q+gTS0HDo5rX+6DMYg3ZEEQgNu3b7NkyRK++uqrYg2nnjx5kqpVq1KtWjWD9UWr1bJw4UKmTJlCvXr1OH36NA0bNiQhIYHRo0ezZcsWHBwcmDRpEl9//TU+Pj60bt2abt26IZPJmDNnDosWLWLMmDGl7sf69esZMGAAKpWKM2fOAPDWW28Ve7g6W8eOHdm+fTuSJJW4jadhVi9P/BYeK3YN5IIYYjGVi70FG4a35GZ0Mr+diuBI6EMiYlP19k7LyJqn9q3jxJBWruVyNXV+RD1kQRAYNGgQx44d4+bNm1haFj2dYPv27XFycmLr1q0G6UdkZCTvvPMOR44cYcKECXz33XeYmj5esfvmm29y48YNwsLCGDp0KHPnzqVVq1aYmZnRrVs35s2bx4IFC/jss89K3ZdDhw7h5+dHUFAQkZGRuqxeZ8+e1S3uKq69e/fSvXt3QkNDcXd3L3Ufy5J/SIRBF1PlVQ/ZEFJUasJjU8hQazExklPDwbLcZeAS9ZAFQSiSkJAQ/P39+fbbb4sVjDMzMwkJCTHYcPXvv/9Oo0aNCA0N5dChQ8ybN08vGENWOcPr16/Tpk0bli5dSv/+/UlISKBjx47MmzePuXPnGiQYQ9Zirjp16tCqVSv27t2LTCbD3t6eJk2alLjNdu3aYWRkVO6HrSFriHhC5zoGaassF1NZmhrhUcWWpq52eFSxLXfBuDhEQBYKlKJSc+VeIuci4rlyL7HcFfQWSic7CUjDhg2LvUf30qVLpKWllTogJyYm8vbbbzNw4EA6d+7MpUuXdAugcgoPD+eHH35ALpfToUMHJkyYQEBAAD179mTx4sXMnj2biRMnlqovOfu0Y8cOhg0bhiRJ/Pnnn0iSxOuvv16qoWZra2tatmxZ7rc/ZRvj687s3p6YGsmLPaeskMswNZIzp7cno33dyqiHL5bn96uEUGZ08zM3HhIRl8f8jL0FvnWdGNzSFXfn52d+Rsht9+7dHD9+nL///huFIv/MSnk5efIkxsbGJVrglC0gIIChQ4cSHx/PL+s20MqvB+HJWu6lJeoNPcbGxtKlSxesrKzw9vbml19+4d69e7z55pusXbuWmTNn8sUXX5S4H0/asmULKpWKt99+m3PnzhEXFwfA2LFjS922n58fS5YsQaPRFPtn/iwM9HLFu7YjU3ZeIiAsBoVcVuDccvbxNrUcmNXLs9zu+S2PxByyoBMZl1rs/+jaujmK/+ieU5mZmXh6euLi4sL+/fuL/eY3dOhQbty4wb//5t6fWpjs1dzzV/1GnW7vYVOvNfeTMvP88tfWzZ79P33D7fNBBAUF8fvvv/P111/TuHFjLly4wIwZM/j666+L3YeCeHt7Y21tzb59+/j222+ZOnUq5ubmKJXKUi/GCggIoF27dpw+fZpmzZoVfkE58qIupiprRY2h4g1ZALIWcGTv8QMKXV2ZfTzoVix+C48xvacHA5+DbQXCY7/88guhoaH4+/uXKMicPHmSrl27Fvu669evM+j9Mdx36UCV938iTS5DmZSZ6zwJuBOXyp1TSmj+Ia27juZ+ciYLFixALpdz4cIFpk6davBgfOPGDYKCgvD39wfQDVf7+PgYZGV0y5YtsbS05NChQ89dQHZ3tmZaTw+m4fFcLKZ63og3ZIGlR24aJAvOhM51GONbvleOClmSkpJwd3ena9eurFu3rtjXx8TEULFiRTZt2lTkKk+SJLFixQq+XLMXG9/3kRsZU5xdNQoZaNSZqII28ODEDipUqEBsbGyR8m0Xx5QpU1i+fDn3799HqVTi5OSEJEns2LEj3xKQxdWtWzfUajX79+83SHtC+SbekIUi8Q+JYP7+ULQZaSSd2oHq3g0y7oeiTVfi0O1TrBr56c6VJC0plw6TGhpERvQttOnJGNk6Y1G/HbYtezN/fygVrUyfiw34L7u5c+eSlJTEd999V6Lri5sQJDo6muHDhxMQZ4md3yiAYgVjAI0EktwI07bv0bbhKwSs/IrTp08XuQRike6h0ehqJZuZmbFjxw4kSUIul/PGG28Y7D5+fn589dVXpKenF1reUnh5iFXWL7HIuFSm7r4CgDY1icQTm8mMjcTYqWae50uZKmL/WoQmNRHrpl2x6/gBJpXrkBi4iegtU5EkiW92XyHy/4nphfIpKiqKH374gXHjxpU4ocfJkydxcnKiRo0ahZ67Z88ePD09OZtohl37t/M8JzMuikd/zOHusneImN+HqJ9HkhC4GW1mut552UPGEXZNqNK2L5s3by5R//Nz8OBBoqKidCvO9+zZA4CHh4dB38Q7duxIWloawcHBBmtTeP6JgPwSm7Lzkm7OWGFlT7UxG6j20VrsfPOuiiNTGOE8ZB6V316AbZsBWDfpguPrn2LrPQhVxCXS71xArZWYstNwyQQEw/v666+xsrJi0qRJJW7j5MmTtG7dusA51ZSUFEaOHEnPnj15pW0nrNvn/fdKnfSIB+s/QxV1A+tXumPn9wGmVeuRGPgbMX/My7d90zZD+X3vITQaTYmf40lr166lQYMGeHl5odFodEU2ilIXujg8PT2pWLHic7EfWXh6REB+Sd2MTiYgLEa3OEtmZIzCyq7Aa2QKY8yq5S46YFEnqzB9ZkwkGq1EQFgMYQ+TDd9podQuXLjAunXrmDp1aonXg2g0Gk6dOlXgcHVISAhNmzbl119/ZcWKFTh2G4s6nyHqlMtH0KpScOo3FdvW/XRf9Cwbvkpa2Ck06cq8L5Qr0LzSj4CAgBI9x5OiomP488R5ugwZxdX7SQSeDCE5Oevv8TvvvGOQe2STy+W8+uqrz81+ZOHpEAH5JfXbqQiDJY/XpMQDoLDI+gWvkMvYeDLCIG0LhvX555/j7u7Ohx9+WOI2rl69ilKpzDMgq9VqvvvuO9q0aYOtrS3nzp3j1TffIjDHl78naTOypjgUlhX0PldY2YNMjkye91IXrQTmNV9h1e97SvwsN6OTmbb7Cu3nHcF70Ukchyxge1JNXl8SyDt/xlBlxM9U7j6WVCPDL2b18/MjJCSExMREg7ctPJ9EQH5JHbnx0GCJ45NObUdmaoF5rawtHBqtxJHQhwZpWzCc/fv3s3//fmbPno2xsXGJ2zl58iRyuZzmzZvrfX779m06dOjA1KlT+eKLLwgKCqJu3bqFfvkzc80qOBD712Iyom+hTnpEyrXjJJ/7C+tmPZCb5L/oSYbEkbtqMjIyivUMkXGpDF19ik6LjrPh1B3uxKWStZNWv3VjuyqYePjRadFxhq4+ZdD1ER07dkSr1XL06FGDtSk830RAfgkpVWoiDPSLJTFoC+nh57FrPwy5mZXu84jYVJFmsxzRaDRMnDgRHx8f3nzzzVK1FRwcTKNGjbCyyvr3LUkS69evp3HjxkRFRXHs2DG+++47XdAv7Mufea1m2LYdQnr4ee6vHUvUT+8S88dcrJv1wN7vgwL7IiFDVqVhsYZ+/UMi8Ft4jKBbsUDhe+6RZf2azN5z7x9imNGfmjVrUqtWLTGPLOiIbU8voTuxKRji3Tjl2nESjm/AqlFnrF/ppndMAsJjU/CoYmuAOwml9euvv3Lx4kVOnjxZ6uQWJ0+epH379kBWSsuRI0eybds23nnnHRYvXqw3N13UL39Gts6YunhgUbcNCnMbUv8LISloCwrLCtg061HgtcZ2ldnov5Vu3boVeB6Ubs+9Riuh0UpM2nGJGKXKIHvuO3bsKOaRBR0RkF9CGWptqdtIu32OmD9/wLx2c+y7jC6z+will5qayldffUX//v1p2bJlqdpKSEjg2rVrfPHFFxw8eJB33nmHtLQ0tmzZQr9+/XKdX5QvfylXjxG3bylVPlyJkY0jABZ124AkkXB0HZYN2qMwL2AOVybjr4AQUlNTsbDIP4Wrf0gEs347QGLgJjIehKFJSUBmbIqxgws2LXtj4a7/s8mMiSTu0CpUd68iUxhhXtsLu47vo7CwNdieez8/P1atWkVUVBRVq1YtVVvC808MWb+ETIxK969dde8Gj3bMxLSSO45vTkImzztBfmnvIxjGwoULefToEd9//32p2zp16hQAR48epVOnTtSvX5+LFy/mGYyhaF/Kks/+hYlzLV0wzmbh1gIpU0VG9K1C20hTZeq2KOUle8+9Jukh2ow0LD07Yuf3AbZtsmocP9r+Lcnn9+nOVyfF8OC3L1DH36dC+7exadGbtP9CiPb/CkmTlebTEHvufX19ATh8+HCp2hFeDOI35kuohoNlruUrRZUZE8nDrdMxsnWiYr+pyI1N8zxP9v/7CM9WdHQ0s2fPZsyYMdSqVavU7e3atQu5XM6mTZv44Ycf2L9/f4HJRYrypUyTmoAk5Q7ckvb/+4u1he8zblC3ji73dF6y99yb1/bCecAMKvi8hXWTLth4vYHzW7MwdqpJ0r+7dOcnBm9BylThPGgmNs17YtumP45vTiLz4W2Ul7LmfA2x575ixYo0adJEDFsLgBiyfilZmhrham/x/5WljyWd2YM2PQWNMqvUXFrYv6iTYwCy5vFkMqK3fIM2XYlNy96khYXoXW9sVwnTqln7lF0dLESi+XJg+vTpGBkZ8dVXX5WqHa1Wy6JFi1i5ciWWlpYEBQXh6elZ6HXZX/4KGrY2tqtCWvg5MuOiMLZ/PGybcvUYyOQYV6xR4D0kSeJe6AUuPohi4cKFdOjQAU9PT4yMsv7+Ze+5z49MrsDI2hHVg5u6z1JvBGHu5oWRrZPuM/MaTTCyr0rqtQCsm3TR23NfmspGHTt2xN/fH0mSDFK8Qnh+id+YLynfuk5sOHVHb4Vp0qmdaJIeb1dKDQ2C0CAArDyyhtY0SY8ASDi6Lleblg07Ylq1PjJJi1cVUY7xWbt+/To///wzs2fPxt7evsTt3L17l2HDhnHo0CFMTU0ZN25ckYIx5P/lLyebln1Iu3WGBxu/wLrZ61mLusL+Jf3WGawad8bI2qHAeziYaPB4tT0bN25kwoQJaLVazM3NadasGS1atOBB1bYoZMZocnwr0GakI6lVaFWppN08RdqtM1jUbwuAOjkGbWoCJpXcct3LtHId0v47rfvn7D3303p6FOnnkRc/Pz8WLFjAjRs3qFevXonbEZ5/IiC/pAa3dGVdcLjeZ9U+WlPoddUn/VnoOZJMzvLxg8g42Z1JkyZRpUqVknZTKKEUlZqxU+dSrbEPHfu+Q4pKXaIRi61btzJixAjMzc1ZvXo1w4cPp23btsVqI68vfzmZuTak0tB5JARuQnn2LzRpyRhVcKZCu7exadWnwLYVchk9m7sxbcYGIiIiMDExYdq0aZw6dYpTp06xY8cOMl6rh7Gd/t/B+MO/oMyeM5bJsajTGvvOWUUvNMr/J7qxyv0lRmFlhzY9GUmdiczIWLfnfholD8ht27bF2NiYQ4cOiYD8khMB+SXl7mxNWzdHgm7FGixBCGT9gmzhakvDMcOZP38+q1atYuTIkXzxxRdUqlTJYPcRctMVj7/xMOuNtFYfqAW9Vv6bVTze3gLfuk4MbumKu3PBQ6xJSUmMHTuW9evX07dvX1auXMnu3buRyWTFrq6U15e/J5lWqYtz/+nFaheytiINaZW10nnQoEGMGTOGTZs24e3tDWRtu/Kc9k+uIXMbrzewqOeDJjmW1OuBWXPY/1+sJalVQFaq2CfJFCa6c2RGWcez99yXdIrG0tKS1q1bc/DgQUaPznvHgvByEIu6XmKzenliZKD0mdmM5DLm9mvKl19+SXh4OJMnT2bt2rXUqlWLiRMn8ujRI4PeT8gv65Q+CbgTl8qGU3cKzToVGBhI48aN2bFjB+vXr2fLli3Y29tz8uRJGjRogK1t8faWV7MxwjTu1uNFWgaikMto6+aom7/t27cvMpmMbdu26c7Jb9uVsYML5jWaYOXZEad+U5Ey0nm4bUbWPK5R1kLF7NXUOUmarIxg2efA4z33pdGxY0eOHDli0EIZwvNHBOSXmIu9BdNLMfeVlxk9PXCxz5o/trW15ZtvvuH27dtMmDCBlStXUrNmTSZPnkxsbKxB7/uyKm7WqezjeWWdyszM5KuvvqJ9+/ZUqVKFCxcu8Pbbb+sWGgUHBxe5/rHufhoNb731FlF/LMDESAGS4UZjjOQyZvV6PJft6OhIp06d9EoyFnUvvEU9bzLu30QdF6UrspK9uDEnjTIeuZm17u24uPfJj5+fH4mJiZw5c6ZU7QjPNxGQX3IDvVyZ0LlO6Rr5/y/ZiZ3r5pkowc7OjhkzZnD79m3Gjh3LkiVLqFGjBl9//TXx8fGlu/dLbOmRm0zacQmVWlvsaQeNVkKl1jJpxyWWHrlJaGgobdq0Yc6cOcyYMYNjx45Rs+bjutjJyclcvny5WAFZkiTGjh3L7t272bB8IbKz28CAq4hzfvnLNmjQIAICAoiMjASKvhdeyswaptaqUjCydkRuYUvGg7Bc56nuh2LinLteeGn33Ht5eWFlZSXSaL7kREAWGOPrzuzenpgayYtdAUouA0mdwSvqa4z2zb0qNScHBwdmzZrF7du3+eijj/jhhx+oUaMG06ZNIyEhoRRP8PLxD4lg/v5QtBlpJAT8RvTv3xC5aCB3ZndHeTH3ntbk8/t48NskIhcP4c68N7m7fDgxexehTohm/v5QWg/+jMTERIKCgvjyyy91W4aynT59Gq1WW6yAPGfOHH766SeWLFnCF198wc1966iZbJha2fl9+XvjjTcwMzPj999/B3LvudekJOS6RtKoSbl8GJmRKcaOWW1a1G1DWlgI6qTHUyxp4edRx0VhUc9H73pD7Lk3NjamQ4cOYj/yS04EZAHIelM+OK49bWplbTEpLDBnH/eu7cg7FSPZteBzAgMDi3SvihUrMmfOHG7dusX777/PnDlzqFmzJt999x1JSUmle5CXQHbWKQBtahKJJzaTGRuJsVPuN7dsGdG3MLJ1xrZlbxw6f4SVRwfSbp3m/vpxZCbFYNvxQ/YcDsLLyyvP64ODg7GxsaFBgwZF6uOGDRuYPHkykydPZt68edy8eZMPPviAI0snlfjLn0Iuw9RIzpzenvl++bOxseH111/XJQnJ3naVLXbfUqI3TyEhcBPJF/4h4YQ/99aMISP6Pyq0G4LcxBwA29b9kRmbEr1pCkmn95AYvIWYXbMxrlgDK89Oevc01J77jh07cuLECdLS0krdlvB8kklS4ZM6SUlJ2NrakpiYWOKi5sLzQ7daN/QhEbGpeotiZGT9AvKt48SQVq64OVmj0Who27Ytjx494sKFCwXmE87L/fv3mT17ti7pxMSJExkzZoyumpCgb+jqU7rV8ZI6E226EoWVHar7N3mwfhwO3T7FqpFfoe2oHoTxYN2nVGj/Dvbe/WlTy4ENw/POdd2zZ0/S0tI4cOBAoe0eOHCAbt26MWjQIA4fPkxUVBRjxoxhyZIlunMi41KZsvMSAWExKOSyAofcs4+3dXNkVi/PXMPUT9q+fTt9+/YlNDQUd3d3pu2+ott2lXL1GMqLB8h4FI42LRm5iTkmldywbtYjVy7rjEd3iD/8S1Yua7kR5m5e2L06HIWlnV7fhrasXqp9yNkuX76Mp6cnBw4cwM+v8H9/wvOjqDFUBGShQCkqNeGxKWSotZgYyanhYJnn28CNGzdo0qQJI0aMYNGiRSW61927d/n+++9ZtWoVtra2fP7553z00UdYWooUnNluRifTadHxPI8VNyBr0pK4++Nb2LTqi12HYQAcHNcuV9YpSZJwdnZmxIgRfPvttwW2ee7cOdq1a0fr1q25ePEi0dHRjB8/nvnz5+f7PMX58lcUaWlpODs7M2HCBL755psCf2aGkNfPrCQkSaJy5cq8++67Bsk7LpQfIiALT93ChQv57LPPOHr0qK48X0lEREQwa9YsVq9ejb29PZMmTWLkyJGYm5sbsLfPp5xve08qSkDWpCWBVos66RGJJzaTFvYvTgO+xbxm03zf9v777z/c3NzYu3dvgSUOw8PDad26NZUqVeLu3bvExMQwZcoUZs6cWaRnK+qXv6J4++23CQkJ4erVq8hkMr1RBUNRyGUFjiqUxODBgwkNDSUkJKTwk4XnRlFjqJhDFgxm7Nix+Pj48N5776FUKkvcjqurKytWrODmzZv06NGDiRMnUqtWLZYsWUJ6eroBe/z8OXLjYamCyt2l73B3yRAerB+HKuo6dn4jMK/ZFECXdepJJ0+eBCiwdGNsbCxdunTBzMyM8PBwYmJimD59epGDMWTN93pUsaWpqx0eVWxLNS87aNAgrl+/zsWLFwH47g0PJI2aIrx/FNmT264Mwc/PjzNnzojdBy8pEZAFg1EoFKxdu5b79+8zadKkUrdXo0YNfvnlF27cuMFrr73Gp59+ipubGz/99BMqlcoAPX6+KFVqIkpZ7s+5/3Sc+k3D7tXhGNlURMrU/4KTnXUqp5MnT+Lu7o6DQ945pdPS0ujZsyePHj0iJiaGhIQEZs+ezTfffFOqvpaGn58fDg4ObN68GZVKxaSPP+DRvp8MWrwhr21XpdWxY0ckSeLIkSMGbVd4PoiALBiUm5sbs2fPZtmyZQb7pVK7dm3WrVvHtWvX8PX1ZcyYMbi7u/Pzzz+TkZFhkHvklKJSc+VeIuci4rlyLzFXgHpW8ss6VRxm1RthXrs5Ni164fjmJBJPbCbpzB7dcQm4dj9J7/mD/j1D69at82wvO/HHuXPnSE9PR6lUsnDhQr744otS9rR0jI2N6devH5s3b6Zbt27s3LmTUZ0bEX/sV4O0n9+2q9JydXXF3d1dbH96SYk5ZMHgtFotvr6+REREcPHiRaytS7/gJadr164xY8YMfv/9d6pXr87XX3/N0KFDMTbOnXu4qHLmgY6Iy2NxUTHyQJeVcxHx9FoelO/x4i7qAniwYULWYqK3F+R7jiRJ2BmredPLXe/5JUlizJgxrFixAmNjY1QqFT/99BOjRo0q3oOVkZ07d9K7d28sLS3Zu3cv8+fPJzo6ms+WbWPq7iuotVKxhv8VchlGchkzenqUSTDONmrUKA4fPsyNGzfK7B7C0yXmkIVnRi6Xs3btWh49esTnn39u8Pbr16/P5s2buXjxIs2bN2f48OHUr1+fX3/9FbW6eG+zeeWBfvJXdHHyQJel0maDyos2MwNJVfCzyGQyEtTGuZ4/O/GHQqFApVLxyy+/lJtgHBYWxvjx45HL5bzxxhvUrVuXv//+m2HDhpV4z32bWg4cHNe+TIMxZA23h4aG6rKNCS8PEZCFMlGrVi3mzp3LihUrymz4rWHDhmzdupXz58/j6enJO++8Q4MGDfjtt9+KlKTfkHmgy4pGo+H8+fP8+OOPfDn2wxItSpK0GjTpuRfZqe7dIPNReJ51f/PsS47n951/mJmbj6BQKFCr1WzYsIHhw4cXu29l4ezZs3h7e2NiYsJ7773HoUOHWL9+PQqFgkGDBgFZedw3DG/JgU/bMeCVyqjj78ETX8VkQHUHC4a2rM7Bce3YMLylweeM8+Lr64tMJhNpNF9CYshaKDNarZZOnToRFhbGpUuXyvzvztmzZ5k2bRp79uyhXr16TJs2jX79+iGX5/7eufTITebvDy31PSd0rsMYX/dSt5MtMzOTc+fOcezYMY4fP05gYCAJCQmYmprSsmVLYtuMRYmZ3jVJZ/agTU9Bo4xDee4vLOq0wdi5FgA2zXoAEneXDcOifltMHF2RGZuR+Sgc5aWDyBQmVHp7Psb2VYvVT0mSkMlkxB/7lZ8/6c2AAQMM9SMolYMHD9KrVy88PDz4888/CQ8Px8vLi+rVq9OyZUtdSs2c/vzzT3r06MHFqzeQ2zobZNtVaTVv3px69eqxcePGZ3J/wbDEPmShXAgPD8fT05NBgwbx888/P5V7hoSEMHXqVP7++288PDyYPn06vXr10gVm/5AIJu3InVM549EdEgM3kfEgDE1KAjJjU4wdXLBp2TtXFqec5vT2LPEwpkqlIiQkRBeAT5w4QUpKChYWFrRp04Z27drRvn17WrRogZmZWdY+5JPhaHL8V3v3p/fQJOXergRQdeRqFNb2xB9ZS/qdi6iTHiJlZqCwsse8RhNs2wzAqIJzVl/uh5Jy6RDpEZdQJ0YjN7fBtEpdKrQbWmDALs3zG5K/vz9vv/02fn5+bN26FUtLSyRJonr16kRGRvL3/9q777io6z+A4687jo1MBXHg1gpXKrlXuFduzZ2SmVlpZZq/UrOyMldluQXDlbnnISriVtRS3FtciIKyObi77+8PgkTgBhxw4Of5ePj4/bz7js+l8r7P5/v+vN+7d9OpU6ds540fP54tW7Zw69Ytk2Zh58ekSZP4448/ePDggdmMScg7EZAFs7F48WLGjBmDUqmkY8eOhXbfY8eOMW3aNIKDg6lXrx7Tp0+nQcv2tJ9/EFUO7fKSb4QRd2o71uVfwcLBFSlNRdKVo6juXcC10zhK1c/+wxzAWiFn74TWBi1nJiUlcfz48cwAfPz4cVJSUnB0dKRFixaZAbhBgwZYWVllO78gq0493jwT1b1L2L3SAkv3ymgSnhJ/ZgdSagplh83GqkzlHM8z5vMXlJ9//pnx48czfPhwli5dmiXBr1GjRpw5c4aEhATs7OyyFSDp16kNzd5oyLJly4ps/C8KDg6mQ4cOnD9/Hm9v07ZIFQqfCMiC2ZAkiQ4dOnDp0iXOnz+Ps7Nzod7/8OHDTJs2jf3791Pdbz6a0tXQYtisQ9JqeBgwHkmdRvnRi3I8RlfFpri4OI4ePZoZgMPCwkhLS8PV1TUz+LZq1Yp69ephYWGhdzxnz56lw/fbsatSH8nAz2ColHuXsPasjsziv2CWFnOfB8vHYf9Kc0p3/yzH8wqiYpWhJEniiy++4Mcff2TSpEl8//33WWaUKSkpuLu7k2LlzMCvfuNOqkO2LHpJknCzlujRsGqRZtE/LykpCRcXF3766Sc++uijoh6OkE8iIAtmJSIigtq1a9O3b19WrFhRJGNYvWM//ztifCedqL++RhV5jYof6n6et3dCK1wVaRw+fDgzAJ85cwatVouHhwetW7fODMCvvfZajs+29enQoQO3H8cj6zY1x1l+QXjo/zEAnu/8rPM4U9V0NlRaWhrvvvsuK1euZN68eYwfPz7bMYsC/2LazsvYVmkAkhZkuf83N7aJRUF78803cXBwYNu2bUU6DiH/xLYnwax4eXkxb948/P392bVrV5GM4ZrWw6CWf9rUFDRJsaQ9fUjcyS0k3zyNTaV6Os+RSVq6fPwDpUuX5q233uKvv/7ilVdeYfHixVy5coWHDx/y559/MnbsWGrXrp2nYBwUFERwcDA/TZ/M1yboLmQISZLQJD1Dbqf7i7iFXMaq4wWfdZ4hMTGRnj17smbNGtasWZNjMF4XFsGP562wzfiz0xGMoWiy6HXx9fXlwIEDRm/lE4ovMUMWCo0kSXTp0oVz585x/vx5XFxc9J9kQq1/CuGOAfuHo5ULSPhHmf4bmRy7mk1x7fwhFja620HaqhP4oo6KVq1aUblyZROM+D8ajYb69evj4uJCaGgoMpnsv0xxSYICSvxJOB9C9I45uHX+CId6HXQeW8nNjtDP2hbIOJ735MkTunXrxoULF9i0aRPt27fPdkzGf5uMbPC8MnUWvTFOnDhBkyZNOHr0aK6V0oTiwdAYWjQ5/cJLSSaTsXTpUmrXrs348eNZuXJlod3bmDrQjj5vYfdKCzTx0SRdPowkaUGTpve8FIUDfQb0KZCtMitXruT8+fOcOHEiM8CMa1uDa+F/szlCgcLSyuDn4oZKi75LTPBCrMu/gn0dX73HZ9TBLsitQnfu3KFjx448ffqUAwcO0LBhw2zHfLdyOz/+stigbPHES4eIC9tCWvQ9ZDI5lmUq4di4D3bVfQCYvecqZRysiySLvGHDhjg6OrJv3z4RkF8SYoYsFLqAgADeeecdtm3bRvfu3QvlnhcexNL118N5OvfRuq/QqhIoO2yu3tlW7XvbsU99mlnAw5D/1XeMWq0mJCQEV1dXXn/99czXVSoVhw4dwq1SLVw6jCXJ0Uvvc1JDaRKeErlqIpJWQ9mhs1GUyrmxxIt2ftgC73JO+b5/TsLDwzM7SgUFBVG9evaCJndjkniteQeS717Umy0ed2o7T/cuxraaD7bVfZDUaSSE7yUt6hZlek3BrlYzoGizyHv27MmzZ884cOBAod9bMB3xDFkwW8OHD6dr166MHj2amJiYQrlnaj4SoOxeaU7qw2uoY+7rPTY2PpGnT5/y7NkzYmNjiYuLIz4+noSEBBITE0lKSiI5OZmUlBRUKhWpqamo1WrUajVarRat9r9xyuVy5HI5t2/fJjU1lTp16mBlZYWNjQ02NjZcvXoVmUxGo1cq89qjfdS+sxn32MtYp8alL2M/z4gKX9qURB6tn4Y2JRH3/l8bHIwBgvcf4NSpU0RGRmb5LPl18OBBWrZsiYeHB0ePHs0xGANM2RyO4xs9KT92Ba7t36NUvY44Nx9I2cE/Imk1xB3fkHls/OntWHnWoEzfqZR6vQuOPm9RdvCPyKxsSQj/r0qWWisxZXP2feuFwdfXl2PHjpGYmFgk9xcKl1iyFgqdTCZjyZIleHt789FHHxVKNaL81IGW0tJbPWpV+n8oLvp9gUlniI8ePaJ69epMmDCBOXP+awCxbds2Nm/ezKpVqxg8eHC2835fspwJU2dy9PhJbKwUJKdq6Lv4mN77SepUojbMQP30Ph4Dv8WqtHFLtZ9/OoG0qFsAKBQKypcvT4UKFbL9ynjd09MThUL3j6FNmzYxaNAgWrRowaZNm3KdYVx7FM+h60+wLPdqtvcsXctjVdqLtCf/1YfWpiZh6Vo+y6qH3NoOuaUNMsv/9oBrtBKHrj/helR8oWaRQ3pd69TUVA4fPlyoe/iFoiECslAkypUrxy+//MKwYcPo06cPvXr1KtD7VXazR8aL1Yqz0iQ+w8LeOctrkkZN4vn9yBTWWOoJTrJ/72NK06dPR6FQ8L///S/ztdjYWN5//326dOnCoEGDcjwvLuYx9qlPaVg5fXabqFLr/fySVsPjLT+ienAZ9z5fYl0+e2DTRQZcPX2EmKiH3Lt3L9uvM2fOcO/ePZKT/9t6JpfLKVu2bI5Bu0KFCoSGhjJ16lT69+/PypUrsba2zvX+q09EZG5dyvbZ/s0Wf/7P0MarDkmXjxB3ajt21d9A0qQSd3oHWlUSjo16ZDk/I4t8eiFlt2d45ZVX8PT0ZO/evSIgvwREQBaKzJAhQ9iwYQNjxoyhZcuWlC5dusDuZW+twMvVTmeWdbRyAVJqEtYVa2NRyg1NwlMSLx5AHX0PlzdHIbey1XkPLzc7kyY0Xb58maVLlzJr1ixcXV0zX//888+Ji4tj0aJFuT7Tjo6Oxs3tv6VmQz7/0/3LSb5+Atvqb6BJTiDhfNZ+1g61dWdQW6XFcebkMTp37kyDBg1yPEaSJJ4+fZolUN+/fz/z/+/du5d79+4RFxeX5bz9+/fTtGnTXAN3+fLlCbkSlWuDkMQLB9DER+Pc4r/VBNd276FNiuPp3sU83bsYALmtIx5vf5vty4hGKxFyNYrpFG5AlslktGvXTjSaeEmIgCwUGZlMxuLFi/H29mbcuHGsW7euQO/XtpY7gSfu5PpD2/7VliScCyb+711ok+ORW9liVbY6Lm3e0VnLGtJnUG1rupt0vJMmTcLLy4sPPvgg87WQkBCWLFnCb7/9RsWKFXM998WADPo/f+qjmwAkXz9J8vWT2d7XFZBlSPDgAn36fIeDgwPdu3enf//+mUlYmcfJZLi6uuLq6krdunVzvJZGo8HPz4+AgABGjhxJ8+bNswTtI0eOcP/+faKjo/+7rpUtFSesz/ELSm7Z4jJLaxRuFbAvVTo9qSs1mbiwrTzeNBOPIT9i6VIuy3UKI4s8J76+vgQGBvLkyZMC/dIqFD2RZS0UubVr1zJo0CD++usv+vbtW2D3Kcg60GDaSlWhoaG0adOGtWvXMnDgQCC9nGLdunXx9PQkNDRUZ3GRt956C7Vazc6dOzNfK4zPr332kL/++ov169dz7tw5SpUqRY8ePejfvz8dO3bUueQMkJyczKBBg9i+fTvLli1jxIgROo/NCNRh1x7y283sP5t0ZYs/Wj8NmUyOe79p/x2fHM+DxaOxqVyfMj0nZbteQWaR5+bevXtUrFiR9evX069fv0K9t2AaIstaKDYGDhxIr169eP/994mKyrlrkSnU8ChFy+qlDarWZQwLuYyW1UubLBhrtVo+++wzfHx8srQ1nD59Ovfu3WPZsmV6K329OEOWJImTe7ehvnceSau/V7Qxnv/8NWvW5H//+x9nz57l4sWLfPbZZ/zzzz+89dZbuLu7M3z4cHbu3Elqamq26zx79oyOHTsSFBTE1q1bdQZjAFtbW6pXr06bNm1o1zF74w9d2eJpzyJJuXka2xdWPixsS2Fd4TVU9y/meM/8ZOvnVYUKFahVq1aB9RUXzIcIyEKRk8lkLFy4EEmSGDt2LAYs2uTZzF51UJg4ICvkMmb2qmOy6/3555+cOnWK2bNnZy7Bnjp1ijlz5jB9+nRq1aql9xrPB+SIiAi6devGkCFD8OEaNpYKo7ZB6ZPb53/11VeZOnUq58+f5/z580yYMIGTJ0/SrVs3PDw8eOedd9i9ezepqancv3+fli1bcuHCBfbv30/Xrl2NGsOLWfTPZ4u795uaLVtcm/j03wOzB1hJq871S0t+svXzQzxHfjmIgCyYBQ8PD37//Xc2btzI+vXrC+w+FV3tTF4HekYPb5MVjUhJSeGLL77grbfeolWrVkB6E4VRo0ZRt25dPv30U4OuEx0djYuLC7/99hve3t6cPXs2fatU4DJqJYabtNSmIZ/f29ub6dOnc/HiRcLDw/nwww85evQoXbp0wd3dnVq1ahEZGUlISAhNmjQxegzPZ7c/ny1epufkHLPFFS7lQCYn8dKhLF8A1XFPUN27iJVHtWznFEQWvaHatWvHjRs3uH37dpHcXygcIiALZqN///7069ePDz74gEePHhXYfQb6ePFZh5r5ukbGD/EJvtVNWlZxwYIF3Lt3jx9//DHztVmzZnHhwgWWL1+epc+vrrFFR0fzxx9/MG7cOIYMGcKFCxfo3r0777//PtvnT0Z9ZrNJxjuxQy2jPr9MJqN27drMmDGDy5cvExgYiEqlIi0tjSdPntC2bVveffddgoODjWqqYG+twFadADyXLV61YWa2+PO/ACzsnHCo2w5VRDiP1v6PuNPbiT22nsjAz5DSVDg1yf6s1tRZ9MZo06YNcrlczJJLOBGQBbPy22+/IZfLef/99wt06Xpc2xr80LsO1gq50c+UJY0aC7Q82/MbZwJnmmycMTExfPfdd7z33nuZy9KXLl1ixowZTJw4MdetRM9LS0vjq6++QqvVkpSURGhoKAsXLsTR0ZHRo0ezaNEiypcvT/i6n/L8+S3kMqwVcn7sXYcP2uZcMcsQu3btYvTo0fj4+PDw4UPOnDnD6NGj2b9/Px06dMDT05MxY8awf/9+vcE5MTGRmAuHkCFlyRaP3jEn268Mrh0/wKX9e2hTEngW+gexx/5C4VIOj4HfYuNVO9tnNnUWvTGcnZ1p1KiReI5cwoksa8HsbNy4kb59+7J69epcC1+Yyt2YJKZsDufQ9Se5FpXIkPG+iyqS2+u/Z8akj/noo4/48ssv+eabb/I9lk8++YRly5Zx/fp13N3d0Wq1tGzZksePH3P27FlsbXXvgz516hSjRo3iwoULaDQadu/eTadOnZAkiVGjRuHv70/FihU5d+4czs7OmZ9/0sZ/OHrzKTIkJB0NKkzZLzggIAA/Pz+6d+/OmjVrsnw2SZI4c+YM69evZ/369dy+fRt3d3f69OlD//79admyJRYWFlmuFxgYyKgJ/6PcuwvzPCZ9Crvf84umTJnCsmXLiIyMzFP7TqHoiCxrodjq06cPAwcOZNy4cTx8+LBA71XR1Y7AUY0JHt+KoY0rUcnNLltIkpHeWnBo40rsndCKkKl9sCeF7du38/333/Ptt9+ydOnSfI3jxo0bLFiwgEmTJuHunj4T+/333zl69CjLli3TGYyTkpL47LPPaNy4MQqFghUrVgDg6emJJEkMHz4cf39/KleuzPnz5zODccbn72Z/mwdL3+et11wM+vyBoxrnORhLksQPP/zAO++8w6hRo9iwYUO2zyaTyWjYsCE//vgjN2/e5OTJkwwdOpQdO3bQtm1bypcvz7hx4zh48CAaTXrylb+/P83rVCsWWfR51a5dOx4/fsz58+eLdBxCwREzZMEsRUdH4+3tzRtvvMHWrVvz1dPWWIkqNW++NYByFbz4dsZ0KrvZZ3t2GBQURKdOnVi0aBFnz55lyZIlbN++nc6dO+fpngMGDODIkSNcvXoVOzs77ty5g7e3N8OGDeP333/P9bx9+/YxevRoHjx4wNdff80nn3zCnj176Nq1KxEREUyaNIm1a9dStWpVzp49i4ND9p7O7dq1Iy0tjdDQ0MzPfzs6kVS1FiuFPMfPnxdarZYJEybwyy+/MG3aNKZNm2bUn6skSZw4cYL169fz119/ce/ePTw9PenQoQMrV67E398f3x79aTcvFJUJtycVZben56WkpODi4sLMmTOZMGFCkY5FMI6YIQvFmpubG4sXL2b79u2F0nziefbWChw1cVgnPMS7nFOOwahjx468++67fPbZZ3z66ad07dqVfv36cfr0aaPvd/z4cdavX8+3336LnZ0dkiTx3nvv4eLiwg8//JDjOU+fPmXUqFG0a9cOLy8vzp07x+eff45CocisYDV+/HjWrl1LjRo1OHfuXI7B+Pbt2+zfv5+RI0dm+fze5Zx43csl189vLJVKxaBBg1iwYAELFy5k+vTpRn/JkslkNGnShLlz53Lnzh2OHDlC//792bRpE5C+pDv3m/8xzNtGz5WMY8os+vywsbGhRYsW4jlyCSYCsmC23nrrLYYMGcJHH33E/fv6Wx+akrW1NSkpKTqPmT17Nq6urowePZrVq1fj7e1N165djdqaIkkSn332GXXr1mXo0KFA+vPQoKAgFi1alOO36U2bNvHaa6+xYcMGlixZwr59+6hRo0bm+0+ePMHCwoJNmzbxyiuvcPbsWeztc96us3LlSuzt7Qu0QlpcXBxdu3Zly5Yt/PXXX4wZMybf15TL5TRr1oy5c+dSunRpunbtSt++fVm3bh1fvv0m2n+2mmDkxmeRFzRfX19CQ0NJS0sr6qEIBUAEZMGs/fzzz9jY2DB69OgCzbp+kY2Njd6A7OjoyPLly9m/fz9//PEH27dvx97ens6dO2f2eU5UqbnwIJa/I55y4UEsiaqs2cJbtmzhyJEj/PTTT1hYWPDo0SMmTJjAoEGDshXHePjwIX369KFPnz40btyYixcv8u6772ZJ8JEkiYULF6LRaKhduzZ///13rs+ftVotAQEBDBgwINeAnV+PHj2iTZs2nDp1iqCgIHr37m3S6x88eJBbt24xadIkfvnlF+7du0doaCjdq1qSetgfbZoKjKxMZqos8oLQrl07EhMTOXHiRFEPRSgA4hmyYPa2b99Ojx49WLFiBe+8806h3HPIkCHcv3+fkJAQvceOHTuWlStXEh4ejkajoVnnPng074Ord0vuPk3O0vJQBni52tG2ljv9G5ajZ9vGVK1aFaVSCaQ/S96/fz8XL16kTJkyQHqQXbFiBZ999hlWVlYsWLCAvn37Zlvy1Wq1dO/enV27dmFjY8OzZ8901o7ev38/vr6+HD58mObNmxv930if69ev07FjR5KTkwkKCqJOHdNVM8swYsQIDh8+zLVr17L999BoNGxUHuDHkAiiLd2RtBpkcotcrmTaLPKCotFoKF26NOPHj2fatGn6TxDMgqExVARkoVgYMWIEmzdv5sKFC1SoUKHA7zdq1CguXrzIsWPH9B6bkJBAnTp18KxRh6oDpnD4erTBP/yTb/1N4Edd6NCsAVu3bqVnz55ZtnvduHEjc2/uiBEjmDNnTpZWjBm0Wi2dO3dmz549ODs7U79+fb1fJoYMGUJYWBiXL182edLc6dOn6dKlCy4uLgQFBVGpUiWTXh8gPj6esmXL8sUXX/Dll1/qPPbSg2fM3nKcY7djSZTbZ/u8ldzsaFvTnSFNvIo8m1qfPn36EBUVxaFDh4p6KIKBRFKXUKLMnz8fBwcH/Pz8CmXp2pAl6wwODg6M+GYJ9+qO4Mj1JwA6gzGQud/ZtnI9Ptz9iBWhlxk7dixdu3bl7bffRq1WM2fOHOrUqcPNmzcJCgrC398/12DcoUMH9uzZg4+PDw0aNMicXecmNjaWjRs3MnLkSJMH4+DgYNq0aUOVKlU4fPhwgQRjgA0bNpCcnMywYcP0HvtqOWeWj+3ExVkDOPulL1/5KHjjWSiJG78kYk5fHi55D/XJtSRF3irURyN54evry/Hjx0lISCjqoQgmJgKyUCw4OzuzbNkygoKCWL58eYHfz8bGBpVKZdCxC0Ku4X8hFbnCSmdhjRzJ5KjUWmYob5BW05eFCxcSHh5O06ZNmThxIu+99x7h4eF06NAhx9M1Gg1vvvkm+/bto2nTphw9epSYmJhsvZBftG7dOlJTUzMTyUxl3bp1dO3alZYtW7Jv374C7d/r7++Pr68vXl7GJV05O9gyqndH1i+cxYMLJ9m1bTMtWrTgt99+o169erz22mtMmzaNCxcuFNDI86ddu3ao1WoOHiy4VppC0SiawqyCkAedO3dm5MiRfPLJJ7Rv377AZl5gWJY1wLqwCGbvuZr+m+dmmk92zCPxfO51h8t/EICiVNZgZddkABMXbmbjT59Sq1Ytjh07RuPGjXO5QnowbtOmDYcPH6ZFixYcOHAACwsLoqOj9QZCf39/OnfuTLly5fR+RkPNnz+fCRMmMHz4cJYuXWpQ3e28un79OocOHcr3ljhLS0s6deqUuad87969rF+/np9//pkZM2bw2muv0b9/f/r378+rr2ZvUlEUatSoQYUKFdi7dy9dunQp6uEIJiRmyEKxMnfuXJycnAp86dqQJeu7MUlM25bzLKrU651w6/bpC78+QWZpjWVpr2zBGABJ4lhqBcb/7xvOnDmjNxi3bNmSw4cP06ZNm8xgDOnbnnTNkC9cuMCJEydMliAnSRKTJ09mwoQJTJo0CX9//wINxpC+XcvR0ZFevXqZ7JpWVlZ06dKFgIAAHj16xPbt22nYsCFz5szhtddeo06dOnzzzTdcuXLFZPfMC5lMJtoxllAiIAvFipOTE8uXL2fv3r0sWbKkwO5jyJL1lM3hqHOpfW1d/lUcarfN8kvh5IGUpsL+tTY5X1Amw8LKmsiKbbGyssr1vmq1mqZNm3Ls2LHMH8wZwTg5OZnk5GSdAdnf35/SpUvTvXt3nZ/PEGlpaYwYMYIff/yRefPm8cMPPxR4VTWtVsvKlSsZMGAAdnYFkwltbW1Nt27d+OOPP4iKimLr1q3Uq1ePWbNm8corr1CvXj2+++47rl27ViD318fX15dz584RFRWld2udUHyIJWuh2OnQoQOjR4/m008/pUOHDlSpUsXk99C3ZH3tUTyH/k3gMlTixVBAhv1rrXM9RivBoetPuB4Vn2O2r1qtpnHjxpw5c4ZOnTqxa9euLAEwo0pXbgE5LS2NwMBAhgwZojPoG/R5EhPp168fe/fuZc2aNbz99tv5up6h9u/fz927dwttC5yNjQ09evSgR48eJCcno1QqWb9+Pd9//z1ffvklr7/+embr0GrVsvdRLghV6zfDpd1oOv12gqep8ly31g1u7EUND/POGhf+I2bIQrH0008/4ebmxqhRo9BqTVe3OIO+JevVJyKMamIgadQkXT6MdYVXUTh76DzWQi5j1fGIbK+npaXRqFEjzpw5Q7du3bIFY9AfkHft2kVUVFS+g9mTJ0/w9fXl0KFD7Ny5s9CCMaR3iqpVqxZNmjQptHtmsLW1pVevXqxdu5aoqCg2bNhAjRo1+Oabb6hevTqNGjVi1qxZ3Lp1q0DufzcmiaHLTzBo9SUcG3Ql5oVgDCABd2KSCDxxh/bzDzJ0+QnuxiQVyHgE0xIBWSiWMqpkhYSEsHCh6Vvu2djYoNVqc+3DG3IlSmerxhcl3zqDNjku9+Xq52i0EiFXo7K8lpqaSoMGDTh79iy9evVi27ZtOS4N6wvI/v7+NGzYkLp16xo89hfduXOHFi1acOvWLQ4cOED79u3zfC1jxcbGsmnTJkaMGFGoDUdyYmdnR58+ffjzzz+Jiopi/fr1VKlShenTp1O1alXeeOMNZs+ezZ07d0xyv3VhEbSbF8rRm+l/xhi4te7ozWjazQtlXVj2L3mCeREBWSi22rVrx/vvv8/nn3/OzZs3TXrtjApXOc2SE1RqIoyccSReDAW5ArtXWxh0fER0UuazwNTUVOrXr8/58+fp168fGzduzDUY6QrIkZGR7NixI1+z43PnztG0aVPS0tI4cuQIDRs2zPO18mL9+vWoVCqTb9fKL3t7e/r168dff/1FVFQU69ato2LFinz11VdUrlw5synG3bt383T9BSHXmLwpHJVaa9QXQUgPzCq1lsmbwlkQUjTPvAXDiIAsFGuzZs3C3d2dd955x6RL1zY26R2DcgrId6ITsy0T6qJNTSb52nFsq7yOha1hle4k4HZ0IiqVijp16nDp0iUGDRrEn3/+qXNmGB0djVwux8nJKdt7q1atQqFQ5Hl5OTQ0lFatWlG2bFmOHj1K9eqFX+c5ICCADh06UL58+UK/t6EcHBwYMGAAGzduJCoqitWrV2dWFPPy8qJ58+b8/PPPBjdMybK17jmqyOs8+nMqEXP7ETG3H4/WfUXqI91fTGfvucqfYqZstkRAFoo1BwcH/P39OXjwIAsWLDDZdTMCck6Z1qlG9tpNuno8Pbvau41R58UnJlO7dm2uXr3KsGHDWL16td5l2ujoaFxdXbM0nID0rUn+/v706tUrx2pf+mzatImOHTvSqFEjDhw4gIeH7ufgBeHKlSscPXqUESNGFPq986pUqVIMGjSILVu2EBUVRWBgIG5ubkycOJEKFSrQsmVLfv31Vx48eJDj+bltrVNFXufRqs9RP4vEufnbODUfSNrTB0SumUxa9D2dY5q67YJ4pmymREAWir02bdowbtw4Jk+ebLJtKLqWrK0Uxv2zSbx4AJmVLbY1ct9XnJNBA/tz/fp1Ro0axcqVKw06Jzo6Osfl6pMnT3Lx4sU8LVcvWrSIfv360bNnT3bu3Flk9exXrlyJs7Mzb731VpHcP7+cnJwYMmQI27ZtIyoqKnMv9SeffEKFChVo3bo1v/32G5GRkZnn5La1LvbQKmQKK8oOm41j4944Ne5D2aE/gSTxLPQPneNQayWmbA43+ecT8k8EZKFE+OGHH/D09OSdd95BozGu3V5OdC1ZV3azN7hApiYplpTb/2BXowlySxvDByBJ3A4PY8yYMSxbtszg03Kr0uXv70/FihXx9fU1YggS06dP5/3332fcuHGsWbNGZ/eogqTRaPjjjz94++23M/9sijNnZ2eGDRvGzp07iYqKYvny5djZ2TF+/HjKlStH27Zt+eaXpRy6/iTHZ8Ypdy9gU7l+lkcgCgdXbCrWJunGSbSpybneW6OVMrfWCeZFBGShRLC3tycgIICjR4/yyy+/5Pt6upas7a0VeBnYmi/x0kHQaoxerk57+pAP3vMzOoM8pypdSUlJrF27luHDh2cWENFHo9EwZswYvv76a77//nvmz5+fbRm8MO3du5f79+8X2t7jwuTi4sI777zD7t27iYyMZOnSpVhZWTF/xxmkXHo5S5o0ZIrs+8hlltagUZP2WHdmd25b64SiJQKyUGK0bNmSjz/+mClTpuS7vKGuJWuAtrXcDdqHnHjhAHI7Z2wq1zf43pJWwyuOGn799VeDz8mQ05L1pk2biIuLM/jZa3JyMn379mX58uX4+/szefLkIt9i5O/vz2uvvUajRo2KdBwFLWNvfVBQEK++2SfXrmGWrhVQPbiSJWBLmjRUD9L/3qvjo3XeJ6etdULREwFZKFG+++47KlasyIgRI/K1dK1rhgwwuLGXQdtPPIfNoeJHq/S2Y3yeTG7BggkDDD7+eTkFZH9/f9q0aWNQFamnT5/SsWNHgoKC2Lp1q1kkUD19+pQtW7aYxd7jwpKgUnM/NvfSraUadEEdc5/oXb+Q+iSC1Me3ebJjLpqEpwBI6lS993h+a51gHkRAFkoUOzs7/P39OXHiBHPnzs3zdfTNkGt4lKJl9dJGVesyiKQl5fbfzJk6MU/NM14MyLdu3WL//v0GLfXev3+fVq1aceHCBfbv30/Xrl2Nvn9BWLduHWq1miFDhhT1UAqNvq11pV7vgmPT/iReDOXhsrE8XD4O9dNIHJv0AUBupf85e8bWOsF8iIAslDjNmzfnk08+4auvvuLSpUt5uoaupK4MM3vVQWHKgCxJWFsq+MK3MsuXL+fbb7816nSNRsOzZ8+yBOSAgABKlSpFnz59dJ576dIlmjZtSlxcHIcPHy6SspS5CQgIoFOnTnh6ehb1UAqNIVvrXFoPo8JHq/AY/COeIxfgOWIeSOnnKVwN26dt7BY+oWCJgCyUSN988w2VK1dmxIgRuZa/1EXfkjVARVc7vu7hnecxZiOT4XIjmHf69+Cbb75h6tSpBm93gvSlXUmSMgOyVqslICCAAQMGYG9vn+t5x44do0WLFjg5OXH06FGz6fsLcPHiRU6ePFkik7l0MXRrnYWNAzYVvbFyrwxAyu1/sChVGku3Cia9j1A4xJ+GUCLZ2toSEBDAqVOnmD17ttHn61uyzjDQx4vPOtTM0xj/k7442buagks7l9OyZUuGDx+On58ffn5+BAcH671CokrNyasPsPKsSYKlM4kqNfv37yciIoKRI0fmet7OnTvx9fXF29ubgwcPml0FrICAAFxdXenWrVtRD6VQGbO1LkPipYOkPryGY6MeyGT6f7TL/r2PYD5E+0WhxGrSpAmfffYZ06ZNo1u3btSuXdvgcxUKBRYWFnoDMsC4tjUo7WDNl5vPkqbWIrMw/J+VDAkrhQUzengzwMeLkU2O0LVrV5o2bcq2bdu4f/8+ffr04dChQ9SrVy/LudcexbP6RAQhV6KIiElCAjyHz2Xq0WSmHQ3COi2eqv0m4VYl51m8v78/7777Lt27d2fNmjXY2toaPO7CoFarCQwMZPDgwUW2/7moZGytu5NLRa2UiPPEHlmLTZXXkds6kvrgMgnn9mJTtSGlfAwrnOLlZoe9tQgB5kTMkIUS7euvv6ZatWqMGDGCtLQ0o861sbHRuWT9vF51PXiycjyqu+kVkHLbP5oh4/0W1cuwd0JrBvh4AVC7dm2OHz+Oh4cHbdq04b333qNGjRp06dIlszFBRgu+9vMPEnjiDnf+DcZZrg+kWJZCW60FHX4+lKUFnyRJ/PDDD4wcOZJRo0axYcMGswvGAEFBQURGRppFpndR0LW1zqKUG8jlxJ3YRMyehaTcu4hzq6G49/nSoIx+C7mMtjXdTT1kIZ9EQBZKNBsbG1auXMk///zDrFmzjDrX2traoBkypG+3in1wkzbSeR4u/4C6Ns+o5GaXbdlRkiTSYh7QyDGJvRNaETiqMRVfKDLi6elJaGgoLVu2pE+fPgwZMgRLS0s6d+7MitDLWVrw6dt6Jf07gowWfGtP3GH8+PF88cUXTJs2jUWLFhlcLKSwBQQEULduXV5//fWiHkqR0LW1ztLFE48B31Dx4zVUmriZ8u8uwqlpP2QWlgZdW6OVGNLEy5TDFUxArFcIJZ6Pjw+TJk3i66+/pnv37gb3AraxsTEoIMfHxzNr1izs7OwIDw+ndkU3Nn81CIVCQaJKze3oRO7ef8jA/n2Ju3+DRQt+ZvTogTqv6eDgwNatW/nwww/55JNPeO+999hyLZkZyhsGjf1FGq2ERivxxZbzPDv1iIULFzJmzJg8XaswREdHs23bNn744YeXZu/xizK21h29GW10y0VdLOQymlV1o7p7KZNdUzANEZCFl8LUqVPZtm0bw4cP5+TJk1ha6p9JGLpkPX78eFQqFZ06dSI4OJhTp06hUKT/07K3VmCniqFv20YkJiayYsUKgzOGFQoFv//+O1WqVOGb1ftw6/JRtmO0qcnEndiE6sEVUh9eRZuSgFuX8TjUbZfrdZ1bDcWlYR2DxlBU1q5di1arZfDgwUU9lCI1s1cd2s0LNWlAVshlzOxl3n/+LyuxZC28FKytrQkICCA8PJyZM2cafI6+GXJkZCQBAQG4uLiwd+9ePv/8c+rXr5/5/s2bN6lduzZJSUn88ccfRm/fkclkvO03Do+uH+ZYKESbFEfskbWkRd/F0r2Kwdc19xZ8/v7+dO3aFXf3l/s5p8m31gEzenhne0wimAcRkIWXRsOGDZkyZQrffvst//zzj97jDVmyHjlyJFqtltKlS1O1alWmTp2a+d7Vq1epXbs2ycnJrF69mqFDh+Zp3FM2hyPJ5Dku3Vo4uFJhXCAVxvrj0jb37U0vMucWfOfOnePMmTMv3d7j3Jhma126iR1qZSYQCuZHBGThpfLll1/y2muvMXz4cFJTddf71bdkffnyZXbv3k2ZMmW4du0ay5cvzywocvnyZerVq0dKSgrr16/n7bffztN4rz2Kz7UFH4BMYYmFg4vR1zXnFnwBAQGUKVOGLl26FPVQzMa4tjX4oXcdrBVyo8u1WshlWCvk/Ni7Dh+0rV5AIxRMQQRk4aViZWXFypUruXjxot7SlPqWrDNqK8fHxzN27FhatGgBwIULF6hfvz6pqals2rSJvn375nm8q09EmL5e9r/MsQVfWloaq1atyswsF/4z0MeLvRNa06xqeiU2fX8vMt5vVtUty9Y6wXyJpC7hpVO/fn2++uorZsyYwVtvvUXDhg1zPE7XkvXBgwc5ffo0Tk5OODo68v333wPpy60+Pj6o1Wq2bNlC9+7d8zXWkCtRJk3oeV5GC77pmPYZZX7s2rWLx48fv7R7j/Wp6GpH4KjG/xWFuRpFRHTWfegy0ot+tK3pzpAmXiKbuhgRAVl4KX3xxRds2bKF4cOHc/r06WyVoBJVarRO5XiqkbjwIJbKbvZZqhpltAKMjY1lzZo1ODo68vfff9OkSRPUajU7duygc+fO+RpjgkpNRAEnXmW04DOXik0BAQG8/vrrBm9Ne1nV8CjF9B7eTMc7c2tdqlqLlUKe7e+qUHyIPzXhpWRpaUlAQACNGjVixowZfPfdd9lLUVbpDUDXXw+nzzpc7Whbyx2XmAvcunULS0tLBgwYQJcuXQgLC6N58+ZotVqUSiXt27fP9xj1teAzhYwWfN7lnAr4TvpFRUWxY8eOfLXNfBnZWyvM4s9PyD8RkIWXVt26dZk2bRpfz/mN8NKtOReVhoVcluMSsQTciUki8MQdNFp73Ad8g+Z4IPPmzeP48eO0bNkSSZIIDg6mbdu2JhlfYbXGM5cWfGvWrEnf5pXHBDhBKO5EQBZeapV9B1Mu1ptzkSkgt9D7vDbjfRuvOlhWncOi4HN8PawjACEhIbRs2dJkYyus1njm0IJPkiT8/f3p0aMHpUuXLurhCEKRKPp/iYJQRBaEXON/Wy+AhSUYUJD/eTILBWpJxrJzyTg07ptZe9oUtFot58+fZ8/G1ZBDMRBTMpcWfP/88w/nzp0TyVzCS03MkIWX0rqwCGbvuZrje5I6jWeHVpF4IQRtSgKWZSrj3GootlVybnLg1HIIdy0NawifE61Wy7lz5wgNDSU0NJSDBw8SHR2NpaUlFceuQGOre59x3OntaFMS0STEAJB8/STq+CcAODbsjtwm94BrLi34AgIC8PDwoFOnTkU9FEEoMkX/L1EQCtndmCSmbbuQ6/tPds4j6coRHBu9hcK1HInhe4n6azoeb8/EpmLOW4SmbrtAs2qlDSpJqNFo+OeffwgNDeXAgQMcOnSIZ8+eYWVlRZMmTRg7diytW7emadOmzNp769/n1rnPlONObEYTF5X5+6SrR+HqUQAcvNvmGpDNpQVfamoqq1ev5p133smsAS4ILyPxt1946UzZHI46lwCnenCFpEsHcW47EqfG6VnWDrXf5MGyD3h2wJ+yQ2fneF5GKcrAUY2zvZeWlsaZM2cyZ8CHDx8mLi4OGxsbmjZtyoQJE2jdujWNGzfOrPSVYXBjLwKO3db5eSqMXWHAp87OXFrw7dixg+joaLFcLbz0REAWXioZpShzk3TlCMjklKr/39KpTGGFQ732PAv9A3XcYxSOZbKd93wpSi9na06dOsWBAwcIDQ3lyJEjJCYmYmdnR/Pmzfn8889p3bo1Pj4+2fY/v+hlaMHn7++Pj48P3t7mU6BEEIqCCMjFhNj8bxoZpShzC26pj25i6VoeuXXWpWcrz5qZ7+cUkAFkSPSZ/DPX1s0kOTkZBwcHWrRowZdffkmbNm1o2LBhnspBluQWfJGRkezevZtff/21qIciCEVO/EQ3Y9kKVTz33vOFKgY39qKGR9HPdIoDfaUoNQkxOTZrsHBwzXw/NxIykp2rMmPGDFq3bs3rr79ukmeiGS34Jm8yXXcmc2nBt2rVKhQKBQMHDizqoQhCkRMB2QzdjUliyuZwDl1/YlChioBjt2lZvTQze9Uxix+y5sqQUpSSOjV9G9QLZAqr/97XIc3aifc/7G/y1YuBPl48SVDlmhlujPjDq3FoMRgo2ufHkiQREBBAz549cXExvmOVIJQ0Yh+ymVkXFkG7eaEcvRkNYHChiqM3o2k3L5R1YebVvcecGFKKUqawAk1attczAnFGYM5NRinKgmCKFnzf9niVVqWT6dmzJ3/99VeBjNNQp06d4sKFCyKZSxD+JWbIZmRByLU8z4A0WgmNVmLypnCeJKgY17aGiUdXvCQlJREZGZnl17kH8UBtnedZOLiiiY/O9nrGUnXG0rUuBVmKcqCPF82rlc5cQZG0GmQ6ippkrLA0q+qWuYIyYP16RowYwcCBA0lMTCyygBgQEEC5cuVMUvdbEEoCEZDNhK5CFQCqyOvEHl6D6t5FJHUaCmcPHOp3wrFRj2zHzt5zlTIO1iWu/6lGo+Hx48dZguzDhw+zBd7IyEji4uKynKtQKCj7aiMsuuoOyFbuVYm7cw6tKilLYlfqg/Q/GyuPqnrHWdClKDNa8L33+XR2XomjWotu3I5OQib7b9asqwWfpaUlf/zxBw4ODrzzzjskJibywQcfFOiYX5SSksKaNWsYM2YMFhbGVUkThJJKBGQzoK9QRfKtM0RtmIGVRzWcmg1EZmWD+lkkmvjct+8YU6iiKEmSRHx8fLaAmlOgjYqKQqvNOvt0dXWlbNmyeHp6UrFiRXx8fChbtmzmL09PT8qWLYuLiwvJaVpqTw/SuWxt90pz4k5uIv4fZeY+ZEmdRkJ4MFblauWaYf28SoX03/yYchPtGzZk1og6eJT34pcVa2neqrVBWfgWFhYsWrQIBwcHxo0bR3x8PJMnTy6UcQNs27aNZ8+eieVqQXiOCMhmQFehCq0qiSc75mJbzYcyvb5AJjNs9qWrUEVhSEtL49GjRwbNZpOSsiZa2djYZAmmTZs2zTHIuru7693H+zx7azlernbc0ZHYZV2uFnavtOBZ6Eq0Sc9QuJQjMXwf6tgoPDp/rP9zxzygfu1X6datG926daNVq1ZYWel+7pwX9+/fJzw8nClTphAdHY2UlkJdL1de9zI8OUomkzF79mxKlSrFF198QUJCAt98802WmXZB8ff3p2nTptSqVavA7yUIxYUIyEVMX6GKxIsH0CY+w6XVMGQyOdrUFGSWVnoD8/OFKkxV/EGSJJ4+fWpQkH3yJOtnkslklClTJjOg1qhRg5YtW2YLsmXLlsXR0bFAgsLdu3exfHIVCU+dz11Ld/uEZwdXkXg+BE1KAlbulXHvOxUbLz3Pn2XQ2rscdvL2bNq0iZ9//plSpUrRoUMHunXrRpcuXXB3N02pyj179iCTyWjfvj2XL18GwM3NzejryGQypk+fjoODAxMnTiQ+Pp558+Yhlxfcsvv9+/fZs2cPCxcuLLB7CEJxJAJyEdNXqCLl9j/IrO1QJ0QTtelb1DH3kVnaYF+7La6+7+rM+rWQy1h1PILpPXRXQEpJSTEoyEZGRpKamnXbj4ODQ5aA+uqrr+YYZMuUKVNkdYpPnDjBvHnz2LBhA44Va+E4cJbO42UKK1zeHInLmyONuo9Ggq8GtqK6e1ckSSI8PJwdO3awY8cORo5Mv9Ybb7yROXuuV69enr94KJVK3njjDdzc3IiOTk9Cy0tAzvDZZ5/h4ODA2LFjSUhIYMmSJQX2bHfVqlVYWVkxYMCAArm+IBRXIiAXMX2FKtJiHoBWw+ON3+BQtwM2rYeTEhFO/L8dfsq89Xmu52q0EkHh92hmcz/XQPvw4UNiY2OznGdhYYGHh0dmQK1Tpw7t27fPFmg9PDxwcHAw2X8LU1Kr1WzZsoW5c+dy7NgxqlWrxrx58xgxYgRj11/kyPUnmDIX+sVSlDKZjLp161K3bl2mTJlCVFQUu3fvZseOHcyaNYuvvvqKChUq0LVrV7p168abb76JnZ1hz541Gg3BwcF89NFHAJkB2dVVfwa4LmPGjMHe3p4RI0aQmJhIYGBgniqL6ZLR97h37944OTmZ9NqCUNyJgFyEDCpUkZaClKbC4fXOuLZ/DwC7Ws2QNGkk/KMkreVgLF3L53r+g/g0OnXrh5SWgrOzc2Yw9fT05PXXX89xNuvm5lagS5YFKTY2luXLl/PLL79w584dWrduzZYtW+jWrRsWFhZotVo8IvajTquFXGEFJloa11eK0t3dneHDhzN8+HBSU1M5dOgQO3bsYPv27SxevBgbGxt8fX3p1q0bXbt2pWLFirleKywsjKdPn9KxY0cgPSCXKlXKJM+qhw4dir29PQMHDiQpKYn169dna3iRHydOnODKlSssWLDAZNcUhJJCBOQiZHChCsD+1dZZXrd/rQ0J/yhR3b+sMyDLZDL2HPubFt6VTfqD1dzcvHmTX375hRUrVpCcnMzAgQPZtGkTDRo0yDwmOjqaIUOGEBQUxKCvFnA4tZLJ7m9MKUorKyt8fX3x9fVl7ty5XL16NXNpe9y4cbz//vvUq1cvc2nbx8cny/KxUqnExcUFHx+fzM+Vn+XqF/Xu3Ztt27bRq1cvunXrxpYtW0y2EuLv70/FihVp27atSa4nCCVJ8ZwGlRCGFJCwcEj/QWth75z1dfv05T5tSoLea7iV8SiRwViSJA4dOkTv3r2pUaMGgYGBfPjhh9y5c4fAwMAswTgsLIwGDRoQFhZGUFAQP43pBWe3mWQcEzvUyvOeb5lMRq1atfj0008JCQnhyZMnrFu3jjp16rBw4UKaNm2Kp6cnI0aMYMOGDcTFxaFUKmnfvn3mM3lTB2SATp06oVQqOXHiBB07duTZs2f5vmZycjLr1q1j+PDhYu+xIORABOQiZEgBCauy1QBQv1A9Sh3/b+UoO/3P4Qq6UEVhS0tLY82aNbzxxhu0atWKS5cu8fvvv3P37l2+++47ypUrl3msJEksWrSIFi1aULZsWc6cOUOTJk3o0qULaWd38Hmb8vkqRflj7zp80La6yT6bs7MzAwYMIDAwkKioKA4fPsyoUaM4ffo0/fr1w83NjRMnTiCXy7l+/TpQMAEZoHXr1uzbt49Lly7x5ptvZsuc1yVRpebCg1j+jnjKhQexJKrUbN68mbi4OIYPH27ysQpCSSCWrItQZTd7ZKBz2dr+lZbEHd9Awrk92Faul/l6wrk9ILfA2kt3Cz3Zv/cpCWJiYliyZAkLFizg/v37tG/fnl27dtGxY8ccn3knJSUxZswYAgMD+eCDD5gzZw5yuZxu3bpx8+ZNDh06RN26denuUzOzFKVM0iLp2lKm1YDcIkspyoJiYWFB8+bNad68Od9//z23b99mxowZ+Pv7s3HjRtatW0etWrVITEykZs2apKWlmTwJ64033uDAgQO0b9+e1q1bExwcnOULz/P0dSdTpEh4D5uOVMrDpGMUhJJCBOQiZG+t0FuowqpsNezrtifxXDCPtVpsvGqTEhFO0uXDODbth6KU7pmRl5tdse+bfPXqVebPn8/KlSvRaDQMHjyY8ePHU6dO7l9Grl69Sp8+fbh58yarV69m0KBBSJLEO++8Q0hICEqlkrp16wL/laK8GhlHhw++wa66D8ly++ztLt3scEy4S8iSGfxyIQwXl8Ktgla5cmUkSaJOnTocPXqUffv2sWPHDgICArh37x5lypShU6dOdOvWjc6dO5ts1ly3bl0OHTqEr68vLVu2ZN++fVSuXDnzfUO7k6XZOKMu15D28w+K7mSCkAOZJEl6u57HxcXh5OREbGwsjo6OhTGul8akP0+x/u+HOmdlkkZN7LH1JJzbiyYhBoVTGUo16Iajz1s6r20hlzG0cSW9+5DNkSRJhISEMHfuXHbu3Im7uztjx47l/fff11tcY9OmTYwYMQJPT082bdqEt3f65586dSrffPMNq1atYvDgwdnOu3r1KrVq1WL79u20bd+J29GJLFqyjA3r13H972PYWyuIjIykYsWKzJs3j3HjxhXIZ8+NJEmUL1+ewYMH89NPP2W+Xr58ebp27Ur58uXZsWMHp06dQi6X07Rp08zEMG9v73wXW7l9+zbt2rVDpVKxd+9eatWqxbqwCKZtu4D63+YmhrKQy1DIZXzdw5uBJazmuiC8yNAYWrIeLhYjsbGxTJ06lcUTh+heIgVkFgqcWwyiwtgVVPp8C+XfW6o3GEP6PuQhTYrXDzuVSkVAQAD169fH19eXiIgIVqxYwZ07d5g2bZrOYKxWq5k4cSJ9+vShY8eOhIWFZQbjpUuX8s033/D999/nGIwhPXvZysqKNm3aYG+twLucEzXdrHh263zmKkPZsmXp3r07S5cuxYDvsiYVHh7Ow4cP6dSpU+ZrkiQRHR1N7dq1mTZtGmFhYTx48IAlS5ZQpkwZvv32W+rUqUOVKlUYN24cSqWSlJSUPN2/cuXKHDp0CEdHR1q1asWXaw8zeVM4KrXWqGAM6X83VWotkzeFsyDkWp7GIwglTfFeyyyGkpKS+O233/jhhx9ISkpKzwqu5MSpu3FG/1DT5cVCFebu8ePHLFy4kN9//51Hjx7RpUsX5syZg6+vr0Ezu4cPHzJw4ECOHj3KvHnz+PjjjzPP27lzJ++//z5jx45l0qRJuV5DqVTSsmXLLFt8nJycSElJISUlJTNT3c/Pj65du3L69GkaNWqUz09uOKVSiZ2dHS1atMh8LSkpCZVKlWV52tPTk1GjRjFq1ChSUlIIDQ3N3Fb122+/YWdnR/v27TPLeeb2TDgnnp6ehIaG0nrkF/xxKpK4E5tQPbhC6sOraFMScOsyHoe67bKdF3d6O/FndqJ+FomFrSN2r7bEueVQ5FY2JbY7mSAYS8yQC0lqaioLFy6kevXqTJkyhQEDBnDjxg1mzZrF7P4NUBiZ5auPvkIV5uLChQu8++67VKxYkR9++IFevXpx6dIldu7cSbt27QwKxgcPHqRBgwZcu3aNkJAQxo8fn3leWFgY/fv3p1u3bvzyyy+5Xi85OZkDBw5kmX1CetYzkKWaWceOHSlfvjzLli3L46fOG6VSSdu2bbM01NBXNtPGxoaOHTvy66+/cvPmTc6fP8/UqVOJjo7mvffeo3z58jRq1Ijp06dz6tSpbN20cpIst0NdrzfapFhij6wlLfoulu5Vcj3+aYg/T4MXY1W6Eq7tRmNXqznxp3fwePN3mcdM3XaBu3qK5AhCSScCcgHTaDSsWrWKV199lQ8++ABfX18uX77M77//njkzqehqx9cmfs5rTKGKwiZJEkqlko4dO1K7dm127drFtGnTuHv3LgsXLuSVV14x+DqzZ8/mzTff5JVXXuHMmTNZZo83btyga9eu1K1blzVr1ujc+3ro0CGSk5MNCsgWFhaMHDmSNWvWkJiYaMQnz7uEhAQOHz6cbXzG1LGWyWR4e3szadIkDh06RFRUFKtWraJGjRr8/PPP+Pj4UL58efz8/NiyZQsJCTnvcc/oTmbh4EaFcYFUGOuPS9uc636rE2KIC9uCvXdbyvT6glKvd8G1/Xu4+PqRcutvkq6dSD/u3+5kgvAyEwG5gEiSxNatW6lfvz5Dhw6lbt26nDt3jsDAQKpVq5bt+IE+XnzWoWZ+bwrAe008zXL5Lzk5mSVLluDt7U3nzp158uQJq1at4tatW3zxxRdGZQXHxsbSt29fJk6cyGeffUZwcDBly5bNfP/x48d07twZZ2dntm/frrdOtFKppHz58pnPnDNk1Ft+sTDGyJEjSUhIYP369QaPOT9CQkJIS0vLV0B+kZubG4MHD2bt2rVERUVx4MABhgwZwpEjR+jVqxdubm506tSJBQsWcPv2beC/7mQarYRMYYmFg+52j6n3L4NWg/1rrbK8bv9q+u8TLx0EsnYnE4SXlQjIBWDfvn00adKEnj174uHhwfHjx9m8eTO1a+tu3zeubQ1+6F0nX4UqtMf+YPN3Y0hOTs7PRzCphw8f8uWXX1KxYkXGjBlDrVq1CA0N5dSpUwwePNjoGszh4eH4+Piwd+9eNm/ezA8//JClk1RSUhI9evTg2bNn7N69m9KlS+u9plKppFOnTtmWtDNmyC8G5MqVK9O+fftCW7ZWKpVUq1aN6tWzFiExRacnAEtLS1q3bs1PP/3EpUuXuHbtGrNmzUKj0fDJJ59QpUoVateuzdh5azHmr6akSQNApsjat1pmmf771Mgbma9ldCcThJeVCMgmdOLECdq1a0e7dulJLXv37mXv3r00btzY4GsM9PFi74TWNKv6b8lMPT/9Mt5vVtWNvZ+0YcvcSZw/f57Ro0cXehbwi/755x+GDx9OpUqV+Pnnnxk8eDDXrl1j8+bNtGrVKk/bcAIDA2ncuDG2tracPn2anj17Znlfo9EwaNAgzp07x86dO3NcjXjRnTt3uHTpUrbZJ/w3Q36xIxakJ3cdPXqUixcvGv05jBUUFJTZTOJ50dHRKBQKk29HrF69Oh9//DHBwcE8efKEDRs24OPjw5V4BcbkHir+rbOeci/rfyPV3QsAaBL+q0Cn0UqEXI3K/+AFoZgSAdkEwsPD6dmzJ02aNCEyMpItW7Zw/PhxfH1983S9jEIVweNbMbRxJSq52fFi6JIBldzsGNq4EnsntCJwVGMqutrRoEED/P39WbVqFbNnz873ZzOWVqtl27ZttG3bltdff50DBw7w/fffc/fuXX7++WeDAmROVCoV77//PsOGDaN///4cO3Ys22xRkiQ++ugjtm/fzvr16zObL+gTFBSEhYVF5hep5zk6OiKTyXKs5dyjRw9Kly7N8uXL8/SZDHX9+nVu3LiR4xeG6OhoXF1d873HWBdHR0f69OnDr4uWYuFoXJUt67LVsSpXi7gTG0k4F4z62SOSb5wiWvkbyBVIaaosx0dEJ5GoUpty+IJQbIhtT/lw48YNpk2bxpo1a6hSpQqrVq1i4MCBJiucX8OjFNN7eDMdbxJVakpXeZWJk75gQL8+VHazz7UC14ABAwgPD2fSpEl4e3vTpUsXk4xHl4SEBFauXMn8+fO5fv06TZo04c8//6R3795ZlpPz4s6dO/Tr14+zZ8+yZMkS/Pz8cgxAs2bN4vfff2fx4sV07drV4OsrlUqaNGmSuTz9PLlcjqOjY44zZGtra4YNG8Yff/zBzJkzs2Q/m5JSqcTS0jLHDkkFVcc6J4Z0J8tJmV5f8GTrLKJ3/Zz+gkyO4xs9SYk4T1rM/SzHSsDt6ES8y4leycLLRwTkPLh//z7ffvsty5Yto0yZMvz++++MHDnSJP1oc2OjkJHy8DqVS2HQD6sZM2Zw/vx53n77bY4fP86rr75aIOO6e/cuCxYsYMmSJcTHx9OnTx8CAwNp0qSJSa6vVCoZPHgwpUqV4siRI7nu+129ejWTJ0/myy+/ZPTo0QZfPy0tjb179/L555/neoyTk1Ou3Y78/PyYO3cu27Zto1+/fgbf1xhKpZIWLVrk2AKxMAOyId3JcqIoVZqyQ2aRFnMfTeJTLF3KY+Hgwr0Fw7B0zb4HOq/3EYTiTixZGyE6OpqJEydSvXp11q9fz8yZM7l+/Tpjxowp0GAM6fuYAYPvI5fLCQwMpGLFivTo0YOnT5+adDwnT57k7bffpkqVKixevBg/Pz9u3rzJn3/+aZJgrNVq+frrr+nSpQuNGzfmzJkzuQbjffv28c477zB8+HBmzJhh1H2OHTtGfHx8jsvBGZydnXMNyK+++irNmzcvsOQulUpFSEhIruMrzICc365hlq7lsalYGwsHF1KfRKBJiMGmcn2T30cQiivxN98A8fHxzJgxgypVqrBo0SI+//xzbt68ycSJE/VupzGVjIBszLJoqVKl2Lp1KzExMQwYMAC1On/P5tRqNRs2bKB58+Y0btyYkydPMnfuXO7evctPP/2El5dptlpFR0fTtWtXvv76a2bMmMGOHTtwdXXN8dhz587Ru3dv2rRpw9KlS41+lrp7927KlCmTpXfyi5ydnXNcss7g5+dHcHBw5tYgUzp8+DBJSUm5BuSYmJhCC8gZ3cnyS5K0PAvxR2ZpTan6nbO8V5K6kwmCsYr9knWiSs3t6ERS1VqsFHKdz1aNlZKSwsKFC5k5cybx8fGMHTuWL774gjJlypjk+sZQqdKTX4ydiVerVo2//vqLDh06MHHiRObNm2f0vePi4li+fDm//PILt2/fplWrVmzevJnu3bubvNF8WFgYffv2JTExkaCgINq3b5/rsXfv3qVLly5UrVqVjRs35qn1YEaBkpzaN2bQtWQN0K9fPz766CNWrFhh9AzdkPF5enrm2tmqMGfIOXUnizu9HW1KIpqE9P7cyddPoo5P75vs2LA7cht7YoIXI2nSsHKviqRVk3gxlNQHV3HrNgGFU9ba5CWhO5kg5FWx/Juvr++ql6sdbWu5M7ixFzU8jK/lnJaWRkBAADNmzODhw4eMHDmSr776iooVK5rsMxgrLzPkDG+++SY///wz48aNo06dOowcmXNVpRfdunWLX375heXLl5OcnMzAgQPZuHGjztlkXkmSxOLFi/n44495/fXXWb9+vc4Z97Nnz+jcuTMWFhbs2rWLUqWM/3N++PAh//zzD5999pnO45ydnbl161au79vb2zNo0CBWrFjBtGnTTPolJWO7U24z/4ws68LStpY7gSfuZNZdjzuxGU3cf1uVkq4ehatHAXDwbovcxh4rj2rEndpK4oUDIJNh7VkTj7e/w6ZS3SzXtpDLaFtTdycvQSjJilVANrTv6p2YJAJP3CHg2G2j+q5qtVrWr1/P1KlTuXbtGgMHDmTGjBnUqFGjAD6N4RJVai4+jMPKsyaRKgWJKrXRs4ixY8dy7ty5zMIczZs3z/E4SZI4cuQI8+bNY8uWLTg7O/Phhx/ywQcfGNWEwBhJSUmMGTOGwMBAxo0bx5w5c3SuBKhUKnr16sX9+/c5evQonp6eebrvnj17kMlkdOjQQedxGW3TdPHz82Px4sUEBQWZLKv9/v37hIeH87///S/H9zUaDc+ePSu0GTLA4MZeBBy7nfn7CmNX6D3HoW67HBtOvKg4dicTBFMqNgH5+b6rgN7OSBnvH70ZTbt5oTr7rkqSxM6dO/nf//7HuXPn6NatG3/99Rf16tUz7YcwQk6rAJ7D5zL9uIqvjwcZvQogk8n49ddfuXTpEr179yYsLCzLDDQtLY0NGzYwd+5cTp06Ra1atfjtt98YNmxYgT4nv3btGn369OHGjRusXr2aQYMG6Txeq9UyYsQIjh07RnBwcL6yx5VKJQ0bNtT7CEJXUleGhg0bUq9ePZYtW2aygBwUFIRcLs9xfzTA06dPkSSpUANyDY9StKxemqM3o1/q7mSCUBCKRVLXgpBrBdZ3NTQ0lBYtWtC9e3dcXFw4cuQI27dvL7JgfDcmiaHLT9B+/kECT9zhzgtL8pB1FaD9/IMMXX7CoE45VlZWbNy4EVtbW3r27ElSUhJPnz7lxx9/pGrVqgwaNAhnZ2d27tzJxYsXGTNmTIEG402bNtGoUSNUKhUnT57UG4wBJk+ezJ9//smqVato2bJlnu+t0WjYs2ePzuzqDPqSuiD9C4+fnx/bt28nMjIyz+N6XlBQED4+PrkGXFOVzTTWzF51XtruZIJQkMw+IK8Li2D2nqtoU5N5dmg1j/6cyt35A7nzQzcSzu3N8RxJ0hJ/ZhcPVnxIxOze3J3/NpFrpjAzUMmfYem1ck+fPk3Hjh1p06YNKpWKoKAgQkJCaNasWWF+vCzWhUXQbl4oR2+m/6A1dhVgXZj+OsBlypRh69atXL58mXr16lG+fHmmTp1Khw4dOHfuHMHBwXTp0kVnklN+qdVqJk6cSJ8+fejQoQNhYWHZmjrk5Ndff+Wnn35i7ty59O3bN19jOHXqFDExMQYFZCcnJ+Li4tBoNDqPGzx4MAqFgj/++CNfY4P0/0bBwcE6x1dUAfll604mCIXFrAPy3Zgkpm1Lr3mrTYozqPcqQPTOn4nZuxirstVxaf8eTs0HonAsgyYplq+2nqf7wBE0atSIiIgINmzYQFhYGB06dCjQ8oP6FOQqQAZJkggJCeHLL78kOTmZ69ev07RpUyIiIli+fHmumbym9PDhQ3x9fZk/fz7z5s1j/fr1BtVh3rRpEx9//DGffPIJ48ePz/c4lEolTk5OBtUZz6jgFRcXp/M4FxcX+vbty7Jly/JdRzwsLIynT5+aZUAGE3Un+9fEDrXMsjuZIBQ2s36GnNF3FcDCwZUK4wKxcHBB9fAakSsn5HhO4qVDJJ7fR5leU7CrlX22q0pNI9ymNgEBAQwZMsTk23byImMV4EUpd87xaO2UHM8pO3Q21uWz9w2evecqZRyss/yAU6lUrFu3jnnz5nH27Flq167N8uXLuXXrFt9++y3Hjx/nrbfeMt0HysXBgwcZMGAAMpmMkJCQLL2LdTly5AiDBw+mX79+/PTTTyYZi1KppH379gaV9Xy+J7KLi+52g35+fqxatYqDBw/SunXrPI8vKCgIFxcXnfW4izIgQ3p3stIO1pm5HcZ8kbSQy1DIZczo4S2CsSD8y2wDckbf1QyG9F4FiAvbgpVnTexqNUOStEhpqcitbP67joUCPF+leedWZhGMn18FyE2pht2x8sw6G1G45J5ZPHXbBZpVK42NJpFFixbx+++/ExkZSZcuXZg9eza+vr7IZDK0Wi2XLl1iyJAhHDt2LNf2kPnd6y1JEnPmzGHy5Mm0bNmStWvXZuldrMuVK1fo0aMHb7zxBitXrjTJUnp0dDQnT57Ez8/PoONz64mck1atWlG9enWWLVuWr4Cc8YVB19/R6OhoHBwcCrxKnC4DfbxoXq203t0PGTLeb1bVzeDdD4LwsjDbgLz6RITef9wv0qqSSH1wlVINuvA0dCXxp3cgpSajcPLAuc0I7F9NTwLK6Ls63cTPwfLi+VWA3FhX9Mb+FcNmkwBpGi1vffcnl34fi0wmY9iwYYwfP55XXsk6o5bL5axcuZLmzZvTo0cPwsLCMmdbptrrHRsby8iRI9m0aROTJk3i22+/NbjZRGRkJJ06dcLDw4MtW7ZgY2Oj/yQD7N27F61Wm2M7w5zk1hM5JxnJXdOnT+eXX37RO6POScYXhvfee0/vcUU1O35eRneyzL8zV6OIiM7h74ybHW1rujOkiZfIphaEHJhtQA65EmX0s1T104eAROKlQyCX49LmHeTWdsSd2saTrbOQW9thW7VhZt/V6RRtQH5xFUAXrSoJmaU1Mrn+Wb1Wghgrd8ZN+ZbJY0fo/KFtb2/P1q1b8fHxoV+/fixbt5lp2y+bZK93eHg4ffr04dGjR2zevDlb72JdEhIS6Nq1KyqVigMHDuQpsOVGqVRSu3ZtKlSoYNDxunoi52T48OF8+eWXrFmzhg8++MDo8QUHByNJkt790eYSkDO82J2soCroCUJJZZZJXQkqNREGbON5kTYtOf1/k+Nw7/MVpRp0wd67DR5vf4fcthSxR//MPNYc+q5mrALoE73rZ+7O60/ET72IXPMFqoe5J25lsJDLsK/XyaAf2JUqVWLjxo2cfmZNu7mmyfJetWoVjRs3xtbWltOnTxsVjNPS0ujXrx/Xrl1j165dVKpUyeBz9ZEkCaVSaVB2dQZjlqwBypYtS/fu3Vm6dGmekruCgoKoU6cO5cuX13lcYdaxNpa9tQLvck687uWCdzknEYwFwQBmGZDz2ndVpkgvK6lw8sC6XK3M1+VWtthWfwPVg6tI2vStKxKwZd8Rzpw5w+XLl4mIiODJkyckJiai1RZO+ze9qwAWltjVaoar77uU6fMVzq2Gkvb4Do9WTyI18obOa2esAhjqrLosLh3HoUGeryzv+cGXGTt2LEOHDqV///4cO3aM6tWrG3wtSZIYM2YMe/fuZePGjdSvX9+osehz7ty5zKVwQ1lbW2Nra2vwDBnSk7vOnj3L6dOnjRqfMV8YzG2GLAhC/pjl19a89kO1cEiv6Su3d87+nr0zaNVIqSnIbNK7yYz0G03qw+zZzQA2NjbY2dlhZ2eHra1t5v/P6feGHPPi7yULK72rADYVXsWmwnOVqGo0xu6V5jxc/iFPQ1fiMUB3I4OMVQB9s5Pns7z1bf2KPfonzw4GYlnai3J+v2d7f/7+Gzw7cZslS5bg5+dn9FayGTNmsGLFClauXKmzsUReKZVK7OzsDM7wzqCvwcSLOnbsSPny5Vm2bFmubSNzkvGFwZDn29HR0QXW51oQhMJnlgE5r/1QFaXcsLB3yew88zxNfDQyhRUya9vM1zZtWI+njYakpCSSkpJITk7O/P+5vZbx+5iYGO7du5frMfpYuleh3Mhfjf6Mli7lsK3RmKSrR5G0Gp3PlCXgdnQi3uWccj3GkCzvDOq4J8QeW4/MUkdylSTh3ukDOvVpa3QwXrFiBdOnT+fbb79l2LBhRp1rKKVSyZtvvml0kw5Dymc+z8LCgpEjRzJ//nzmzJmDvb1hLQWDgoIM/sIgZsiCULKYZUDO6Lual2Vru1dbEn9qG8m3/sa2yusAaJJiSbp+AptKdZHJ0oO9DGjT0LtAnm1JkkRKSorOQH/liYrf9D8KzpHCsTRo1EhpKmTWureN6FttMCTLO8PTkOVYl6uFpNWiTc6lSIZMhgYZUzaHEzhKf9GNDLt372b06NG89957TJmS897r/IqPj+fw4cPMnz/f6HMNKZ/5opEjR/Ltt9/y119/MWLECIPOMeYLgwjIglCymGVAzqnvKhjWe9WpaT+SLh/m8eaZOPr0RG5tT/w/u0GjwbnVf7Ouguy7KpPJsLW1xdbWNtcfmBcexPLbtcN5ur76WWT6bN9K/zYgXasNxmR5p0ScJ+nyETzf+YWY4EU6j9VoJQ5df8L1qHiDtrecPn2afv360blzZxYsWFBgFdP27duHWq026vlxBmOXrAEqV65Mu3btWLZsmUEBOSEhgcOHDxvUszopKYmUlBQRkAWhBDHLpC5I77v6YgZy3InNxB5aRcLfu4D03quxh1YRe2gV2pQEACzsXfAYMgubyvWJO7WVZwcDUZRyw2Pw91h5VE0/xgz6rmasAuiiSco+I0t9dJOkayexqfx65mw/N7J/75MbQ7O8Ja2GmOBFONTrgJV7Zb3Hw397vfW5desWXbt2xdvbm3Xr1hm8RzkvlEolNWrUoFq1akafa+ySdQY/Pz+OHDnCpUuX9B4bEhJCWlqawc+PoeiqdAmCYHpmOUOG7H1XwbDeqwCWzmVx751zD1kwj76rua0CPO/xlh+RW1phXf5V5HZOpD25S8JZJTJLa1zajNB7D32rAIbu9U74ezfquMd4vP2d3mMzGLLXOzo6ms6dO+Pg4MD27dsNfs6aFxnZyz169MjT+U5OTly/ft3o89566y1Kly7N8uXLmT17ts5jlUol1apVMygrXQRkQSh5zHaGnNF31ZAZnDEs5DJaVi9tFpWCcloFeJ5dzSZokuKIO7mFmD0LSbp8CLuazfAcMQ/L0hV1XlvfKoChe701yXE8O7Qa52YDsLDLPTksJ7r2eicnJ9OjRw+io6NRKpW4uxfsisWVK1e4c+dOnparIe8zZGtra4YNG8bKlStRqVQ6jzVmf7QIyIJQ8pjtDBnS+662mxdq0kbo5tR3NadVgOc5NuqBY6O8zej0rQIYutf72cFA5LYOlGrU3egx5JblrdFoGDx4MH///TchISFG7VPOK6VSibW1dZ7rS+clqSvDqFGjmDt3Ltu2baNfv345HnP9+nVu3rxpcDlPEZAFoeQx2xkylPy+q0W5CmDIXu+0mPsk/BNEqYY90MTHoH72CPWzR0iaNCStBvWzR2iS43Ve48X7SJLEhAkT2Lp1K+vWrTOo/aEpKJVKWrVqledl8YykrrxU3nrttddo1qwZy5Yt0zk+S0tL2rZta9A1o6OjsbCwyKwiJghC8WfWARlKft/Vmb3qoDBxQDZkFcCQvd6a+GiQtDzdu5j7i0Zl/kp9cAV1zH3uLxpF7JG1Rt1nzpw5/Prrr/z22295fp5rrOTkZEJDQ/O8XA3pM2S1Wk1SkvElXSE9uSs4OJjbt2/n+L5SqaRly5Y4ODgYdL3o6GhcXV2LtIe3IAimZfYBGdL7rv7Quw7WCrnRs0kLuQxrhZwfe9fhg7YFvzRqrKJaBTAky9uyTCXK9P5ftl+Wpb2wcCxDmd7/w6Fu7g0QXszyXrduHRMnTuSLL75gzJgxRnyi/AkNDSUlJSXfARkMbzDxov79++Pg4IC/v3+291QqFSEhIQYvV4PYgywIJVGxCMiQPlPeO6E1zaqm/xDSF5gz3m9W1Y29E1qb3cz4eUWxCpCR5a2LhZ0TdjWbZvslt3VEbmWLXc2mOrdBPZ/lfeDAAYYPH87QoUP57jvDs7VNQalUUrFixXyVmTS2wcSL7O3tGTRoECtWrECj0WR57/DhwyQlJRn1hcGcG0sIgpA3xSYgw399V4PHt2Jo40pUcrPLNsuTAZXc7BjauBJ7J7QicFRjs3lmrEtRrALoy/LOj+ezvM+fP0/Pnj1p1aoVy5YtK/Rl1ozs5fzc15ieyLnx8/Pj3r177NmzJ9v4PD09qVPH8GTDjCVrQRBKDrPOss5NSe27OtDHi+bVSjNlc7jOfsQZMmpZN6vqlmM/Yn30ZXnnpuzgH/Qek5Hlfe/ePTp37pzZ4tHKysro++XHrVu3uHLlCjNnzszXdYztiZyThg0bUq9ePZYuXUrnzp0zX1cqlXTs2NGoLwzR0dG88soreR6LIAjmp1jNkHNS0vquGroKUM7RkvgzO/n01aQ8rwIUdJZ3GWstXbp0QSaTsWvXLhwdHU16H0MEBQVhYWGBr69vvq5jihmyTCbDz8+P7du3ExkZCcD9+/c5f/680c+3xTNkQSh5inf0KsEMWQVosnUq+zY94sNhOe9tNURB7fWe3u0Vevfuzd27dzl8+DDly5c32fWNoVQqadasWb63B9nb22NhYZGvGTLA4MGD+eyzz/jjjz/4/PPPCQoKQi6X065dO6OuIwKyIJQ8xX6G/DLIbRVg0KBB7Nq1i5iY7O0mDVUQWd7Tu7/GtE8/4PDhw2zZsgVvb9Ne31Cpqans27cvX9nVGWQyWZ4aTLzIxcWFvn37smzZssxynm+88YZRwVWj0fD06VMRkAWhhBEBuRjr378/Go2GjRs35us6ps7yPrd5EatXr+aPP/7Ic2UsUzh69CgJCQkmCciQ9/KZL/Lz8+PatWuEhISwd+9eo7Y7AZkFSkRAFoSSRQTkYqxs2bL4+vqyZs2afF/LVFneskt7+OGHH5g9ezYDBgzI97jyI6NGdv369U1yvfyUz3xe69atqV69Oj/99BNPnz7N0/NjEGUzBaGkEQG5mBs8eDChoaHcu3cv39fK2OvdtOq/22kk3eU1X9zrbfPgbz788EM+/vhjPvnkk3yPJ792795Nx44dkctN89fcFEvW8F9yV3BwMM7Ozvj4+Bh1vgjIglAyiYBczPXq1QsrKyvWrVtnkutVdLVjuFc8D5a+T4cqNgbv9b535SwDBw6kV69ezJkzp8hLOj548IBz586ZbLkaTLdkDTB8+HA0Gg1Vq1bFwsLCqHNFQBaEkklkWRdzjo6OdO/enTVr1vDZZ5+Z5JqLFy+mZllHFo9uh0wm07vX++rVq3Tv3p2GDRsSGBhodIApCEFBQchkMjp0yL20p7GcnJwytyvll6WlJQCPHz9GkiSj9yCDCMiCUNKIGXIJMGjQIP7++28uXbqU72tFRkaydetW3nvvvcwgoWuv96NHj+jcuTNlypRh27Zt2Nra5nsMpqBUKvHx8aF06dImu6YpZ8jBwcEA3L17lzNnzhh1bnR0NPb29lhbW5tkLIIgmAcRkEuALl264OTkxNq1ujsvGWLFihVYWloydOhQvccmJibSrVs3kpKS2L17t9mUclSr1QQHB5t0uRpMl9QF6V8YateuTfny5XW2ZcyJqGMtCCWTCMglgLW1NX379mX16tV56tebQavVsnTpUgYMGJBZmSo3arWaAQMGcPnyZXbu3EnlypXzfF9TCwsLy1P2sj6mSuqSJImgoCA6d+7MyJEjWbNmDYmJiQafL4qCCELJJAJyCTFo0CBu3rzJyZMn83yNPXv2cPv2bd577z2dx0mSxNixY1EqlWzYsIEGDRrk+Z4FQalU4uLiYnT2sj7Ozs4kJSWRlpaWr+ucO3eOyMhIOnXqxMiRI4mPj2fDhg0Gny8aSwhCySQCcgnRunVrPD0987UnefHixdStW5fGjRvrPO67775j6dKlLF261OiiFoVBqVTSvn17FArT5izmtydyBqVSiZ2dHc2bN6dy5cq0a9eOpUuXGny+mCELQskkAnIJYWFhwdtvv826detQq9VGn//gwQO2b9+eJZkrJwEBAXz11Vd8/fXXvPPOO/kZcoF48uQJYWFhJl+uhvz3RM4QFBTEm2++mZmU5efnx5EjRwxOyhMBWRBKJhGQS5BBgwYRFRXF/v37jT53+fLlWFtbM3jw4FyP2bNnD++++y5+fn589dVX+RlqgQkODkaSpAKZuZui41N8fDyHDx/O8oXhrbfews3NjeXLlxt0DRGQBaFkEgG5BGnQoAE1a9Y0etlao9GwdOlSBg4cmGtXpL///ps+ffrQoUMHFi5cWOSFP3KjVCqpW7cu5cqVM/m1TbFkHRISQlpaWpaAbG1tzbBhw1i5ciWpqal6ryECsiCUTCIglyAymYxBgwaxadMmkpOTDT5PqVRy9+7dXJO57ty5Q5cuXahVqxZ//vmnyZ/NmopWqyUoKKhAlqvBNEvWQUFBVKtWjWrVqmV53c/PjydPnrBt2zad5ycnJ5OcnCwCsiCUQCIglzCDBg0iPj6eHTt2GHzOkiVLqF+/fo5ZyTExMXTq1AlbW1t27tyJg4ODKYdrUmfPnuXRo0cFFpAdHR2BvM+QJUli9+7dOY7vtddeo1mzZnr3JIsqXYJQcomAXMLUqFEDHx8fg5et7927x44dO3JM5kpJSeGtt97i8ePHKJVKPDw8CmLIJqNUKrG3t6d58+YFcn2FQoGDg0OeZ8jXr1/n1q1buX5h8PPzY8+ePdy5cyfXa4iALAgllwjIJdCgQYPYtWsXT58+1Xvs8uXLsbW1ZdCgQVle12q1DB06lFOnTrF9+3Zq1jRNv+SCpFQq8fX1xcrKqsDukZ/ymUqlEktLS9q0aZPj+/369cPBwYEVK1bkeg0RkAWh5BIBuQQaMGAAarWaTZs26TxOrVazbNkyBg0alLkcm+HTTz9l48aNrF27lqZNmxbkcE0iNjaWo0ePFthydYb8lM8MCgqiZcuWuS77Ozg48Pbbb7NixQo0Gk2Ox4iALAgllwjIJZCnpydvvvkmq1evBiBRpebCg1j+jnjKhQexJKrS9ynv3r2be/fuZUvmmjdvHvPnz+fXX3+lZ8+ehT38PNm/fz9qtbrAC5XktXxmSkoKISEher8w+Pn5ce/ePfbs2ZPj+zExMcjl8lyz4QVBKL7MM11WyLf2fYby48ajNP8hmAexqTxf4VoGeLnaEX/1PPVadaJhw4aZ761fv55PPvmESZMm8cEHHxT6uPNq9+7d1KxZk6pVqxboffK6ZH348GGSkpL0fmFo1KgRdevWZdmyZXTu3Dnb+xllM+Vy8V1aEEoa8a+6hLkbk8TQ5Sf4/Y4bDg26cP+FYAwgAXdikoh29eZZs3EMXX6CuzFJHDx4kKFDhzJo0CBmzpxZFMPPE0mSUCqVBb5cDXlfsg4KCsLT05M6deroPE4mk/Huu++ybds2Hj16lO19UcdaEEouEZBLkHVhEbSbF8rRm+nPGWVyC53HZ7x/9GY0vnMP0HfSPJo3b86KFSuK1Qzs0qVL3L17N8cZpanldck64wuDIQVVBg8ejIWFBX/88Ue290RREEEouYrPT11BpwUh15i8KRyVWotGa1wLRo1WQqXWYtfGjy4Tfyl2je+VSiU2Nja0bt26wO+VlxnyvXv3OH/+vMHPt11cXOjbty/Lli3LbKeZkQdwN8kCu/I1M/MABEEoOcQz5BJgXVgEs/dcRZuaTNyJTageXCH14VW0KQm4dRmPQ9122c5Je3KXmH1LUd27iMxCgW01H1x8/Vhw8A4VSzsywMerCD5J3iiVSlq3bo2trW2B3ysvM+Q9e/Ygl8tp1y77n0Nu/Pz8WK88yOjFwVyNtyQiJin90UO13gDUnh6El6sdbWu5M7ixFzU8Shk1JkEQzI+YIRdzd2OSmLbtAgDapDhij6wlLfoulu5Vcj1HHfeEyNWTUD99iHPrYTi+0ZvkG2E8WvclkiaNqdsucDcmqbA+Qr4kJiYSGhpaKM+P4b8ZslarNfgcpVLJG2+8YfBS892YJJbdsKXcuwsJvq3iTkYwfk5GHkDgiTu0n38wMw9AEITiSwTkYm7K5nDU/y5RWzi4UmFcIBXG+uPSdmSu58QeW4+UpsLj7e9wbNQDp2b9Kd1zMmlRt0gI34daKzFlc3hhfYR8CQ0NJTU1tVADsiRJJCQkGHS8Wq0mODjY4PFl5AEc+zcPAJnuf6IZjyeO3oym3bxQ1oVFGHQfQRDMjwjIxdi1R/Ecuv4k84eyTGGJhYOL3vOSrhzFtroPCif3zNdsK9dH4VqepEuH0GglDl1/wvWo+AIbu6kolUoqVapErVq1CuV+xjaYCAsL49mzZwY9PzZFHsDkTeEsCLlm1LmCIJgH8Qy5GFt9IgILucyoH97q+Cdok55hVbZ6tvesPWuSfOMUABZyGauORzC9h7fJxlsQjMleNoXneyJ7eel/zq5UKnFxccmxccfz1oVF8N3KHSSG7yMlIhx17CPkto5Yl6uFc6uhWLqWzzxW9eAKCeH7SH1whdTHt0GrodLk/5qJzN5zlTIO1sUqD0AQBDFDLtZCrkQZP5NKSK9vbeGQfS+rhYML2pR4JHUaGq1EyNUok4yzoNy4cYNr164V2nI1GN8TWalU0qFDBywsct+ClpEHEHd8A0lXjmJTqR4u7UbjUK8jKXfP89D/4/TA+6/kG6dIOLsHZDIUzmVzvGZxygMQBCGdCMjFVIJKTUQefuBKahUAMgvLbO/JLKyyHBMRnWTW22uCgoJQKBS8+eabhXZPY5asnzx5QlhYmN7l6ow8gFI+vSg/dgWu7d+jVL2OODcfSNnBPyJpNcQd35B5fKkGXag44U88R8zHtnL9HK9ZnPIABEFIJwJyMXUnOjFb5q0hZIr0PcaSJi3be5ImNesxwO3oxLwOscAplUqaN2+erTFGQXp+yVqfvXv3IkmSzoD8fB6ATYVXs31RsnQtj1VpL9Ke3M18zcLeBbml7r3ixSkPQBCEdCIgF1OpasO33TwvI+lLkxCT7T1NwlPkNqWQKf4LCnm9T0FTqVTs37+/UJerAWxsbLCysjJoyVqpVFK3bl3KlSuX6zEZeQC5kSQJTdIz5HbGf+nIyAMQBKF4EAG5mLJS5O2PTlGqNHI7J1Ijr2d7T/XwKlYeWfcv5/U+Be3IkSMkJiYWekAGwxpMSJJEUFCQ3uVqfXkAiRcOoImPxv6VlkaPszjkAQiC8B/z/Gkr6FXZzZ685hXb1WpG8vUw1HGPM19Lvv0P6pj72L3SIvM12b/3MUdKpZKyZctSr169Qr+3IeUzz507R2RkpM4vDPryANKi7xITvBDr8q9gX8c3T2M19zwAQRD+I7Y9FVP21gq8XO2488IP9LjT29GmJGYuSSdfP4k6/gkAjg27I7exx6lpf5IuH+HRmimUatQDKS295KZlmco41GmfeS0vNzvsrc3zr4hSqaRjx46Ftt3peYaUz1Qqldjb29O8efNcj9GVB6BJeErUX18jt7andM8v9DYKyU1GHoB3OdE/WRDMnXn+tBUM0raWO4En7mRZ8ow7sRlN3H/LlElXj8LVowA4eLdFbmOPwrEMHoO+5+n+ZTwLDUAmV2Bb3QeXN0dlPj+2kMtoW9Mdc3T//n3Cw8OZMmVKkdzfkCVrpVJJ27ZtdTbqyO35vDYlkUfrp6FNScRjyI8oSuWvu5O55gEIgpCVCMjF2ODGXgQcu53ltQpjVxh0rlWZSngM+CbX9zVaiSFNzLOwhFKpRC6X0759e/0HFwB9ATk+Pp4jR44wb948ndfJ6fm8pE4lasMM1E/v4zHwW6xK5//PwFzzAARByEr8Sy3GaniUomX10jqzdPPCQi6jZfXSVHc3zw5CxjZrMDV9S9YhISGkpaXpTTh7MQ9A0mp4vOVHVA8uU6bnZKzLv5rvsZpzHoAgCFmJGXIxN7NXHdrNCzW6YpcuCrmMmb3qmOx6ppTRrGHChAlFNgZ9M2SlUkn16tWpVq2azuu8mAfwdP9ykq+fwLb6G2iSE0g4H5LleIfabQFQx0aRcH4/AKp/s+WfHVkHgMLJHYfa/xVKMec8AEEQshL/Uou5iq52fN3Dm8mbTFeVaUYPbyq62pnseqZ04sQJYmNji2S7UwYnJ6dcs6wlSUKpVNKlSxeDrvV8HkDqo5tAeiJe8vWT2Y7NDMjPIok9tCrLexm/t65YOzMgm3MegCAI2YmAXAIM9PHiSYKK2Xuu5vtaEzvUMuumBEqlEldXVxo1alRkY9A1Q75+/Tq3bt0y+AvD83kAZQf/YNA5NpXqZmkmkRtzzgMQBCE78Qy5hBjXtgY/9K6DtUJu9DNlC7kMa4WcH3vX4YO22btAmRNDmjUUNGdnZ1JTU0lJScn2nlKpxMrKijZt2hh0rZc1D0AQhOxEQC5BBvp4sXdCa5pVTU920vdDPuP9ZlXd2DuhtVnPjAGioqI4depUkS5Xg+4GE0qlkhYtWuDg4GDw9Wb2qoPCxAHZnPMABEHImQjIJUxFVzsCRzUmeHwrhjauRCU3u2wVvWRAJTc7hjauxN4JrQgc1dhsnxk/Lzg4GIAOHToU6ThyazCRkpLCgQMHjP7CkJEHYErmnAcgCELOxDPkEqqGRymm9/BmOt4kqtTcjk4kVa3FSiGnspt9sci8fXHcO4P2Ur9+fTw9PYt0XLn1RD58+DBJSUl5msG/THkAgiDkzPx/Kgv5Zm+tKDalE689imf1iQhCrkQREZOUpbSkVK4Ppcp3Zfq2Cwxu7EUNj6J5PprbkrVSqaRcuXLUrl07T9cd17YGpR2smbbtAmqtZNRWNgu5DIVcxowe3iIYC0IxJQKyYBbuxiQxZXM4h64/wUIuyzEYyWQyErAl8MQdAo7dpmX10szsVafQl2ZzW7LO6O6Un/raA328aF6ttN7/Fhky3m9W1a1I/lsIgmA6IiALRW5dWETmrBDQOzPMeP/ozWjazQvl6x7eDCzEWaGDgwMymSzLkvW9e/c4f/48X331Vb6vn5EHkLlacDWKiOisqwUy0ot+tK3pzpAmXiKbWhBKABGQhSK1IORanp+bav5d1p28KZwnCSrGta1h4tHlTC6XZyufGRQUhFwup127dia7T0nIAxAEwXDiX7RQZNaFRTBrx1niTmxC9eAKqQ+vok1JwK3LeBzqZg1sqgdXSAjfR+qDK6Q+vg1aTZbiGLP3XKWMg3WhPT91Ku3OrWdp/B3xFCuFnF179vHGG2/g6upaIPcrTnkAgiDkjQjIQpG4G5PEtG0X0CbFEXtkLRaOZbB0r4IqIucSoMk3TpFwdg9W7pVROJdFHXM/2zFTt12gWbXSBfYc9fmEM/rMYbckY/fC9NaWUpVBOFZVFXnCmSAIxZcIyEKRmLI5HLVWwsLBlQrjArFwcEH18BqRK3NuGlGqQRccm/RFbmlNzJ6FxOcQkNVaiSmbwwkc1dikY80x4eyFxC2ZTEY8NkWecCYIQvElCoMIhe7ao3gOXX+CRishU1hi4eCi9xwLexfkltY6j9FoJQ5df8L1qHhTDZV1YRG0mxfK0ZvRmffQNwb4L+FsXViEycYiCELJJgKyUOhWn4gwee3mDBZyGauOmyYILgi5xuRN4ajUWqPbW2q0Eiq1lsmbwlkQcs0k4xEEoWQTS9ZCoQu5EmXS/s3P02glQq5GMZ38laI0JuHszg/dcr2OTeX6zObbQk04EwSheBIBWShUCSo1ETFJBXqPiOgkElXqPG8LMjbhzK3bp9leS428RvypbdhUeR0o+IQzQRCKPxGQhUJ1JzqRgpkb/0cCbkcn5nmbkLEJZw6122Z7LToiHJBh/2proOASzgRBKDnEM2ShUKWqtWZ9n7wknL1IUqeRdOUI1l61UTiWBgom4UwQhJJFBGShUFkpCuevXF7vY4qEs+QbYWhVidh7t8nyuikTzgRBKHlEQBYKVWU3+2z9mU1N9u998sIUCWeJFw+AhSX2tZpneT0j4UwQBCEn4hmyUKjsrRV4udpx57nErrjT29GmJKJJiAEg+fpJ1PFPAHBs2B25jT3q2CgSzu8HQBV5HYBnR9YBoHByx6H2m5nX83Kzy1NClykSzrSqJJJvnMK2WiPkNg7Z3s9vwpkgCCWX+KkgFLq2tdwJPHEncyYad2Izmrj/Zo5JV4/C1fSSlA7ebdMD8rNIYg+tynKdjN9bV6ydGZAt5DLa1nTP07hMkXCWdOUIkjoV+9fa5Ph+fhPOBEEouURAFgrd4MZeBBy7nfn7CmNX6D3HplLdLM0kcqPRSgxpkrf9vqZIOEu8cACZtT121d8o0PsIglDyiGfIQqGr4VGKltVLm7xal4VcRsvqpfPcGzi/CWfqhBhSIsKxq9UMmcKywO4jCELJJH4yCEViZq86KEwckBVyGTN71cnz+flNOEu6eBAkba7L1ZC/hDNBEEo2sWQtFImKrnZ83cObyZtyrn6VFzN6eOerElZeE84yJF48gIWDKzaVcv9SkNeEM0EQSj7xk0EoMgN9vHiSoGL2nqv5vtbEDrVMUis6LwlnAGnR90iNvE4pn57IZDkvPOUn4UwQhJJPJkmS3sTSuLg4nJyciI2NxdHRsTDGJbxE1oVFMG3bBdRayag9wBZyGQq5jBk9vE3WuOHao3jazz9okmvlZO+EVnl+xi0IQvFkaAwVz5CFIjfQx4u9E1rTrKobgN5kr4z3m1V1Y++E1ibtomSuCWeCIJR8YoYsmJVrj+JZfSKCkKtRREQnZdkXLCP9GWzbmu4MaeJVYMHtbkwS7eaFojLh9iRrhZy9E1qLbk+C8BIyNIaKgCyYrUSVmtvRiaSqtVgp5FR2sy+0hKh1YREmTTj7sXcd0Q9ZEF5ShsZQkdQlmC17a0WRVbQyx4QzQRBKNhGQBSEX49rWoLSDtdkknAmCULKJpC5B0MGcEs4EQSjZxAxZEPSo6GpH4KjGZpFwJghCySWSugQhD4oy4UwQhOJFJHUJQgEqyoQzQRBKJvEMWRAEQRDMgAjIgiAIgmAGREAWBEEQBDMgArIgCIIgmAERkAVBEATBDIiALAiCIAhmQARkQRAEQTADIiALgiAIghkQAVkQBEEQzIAIyIIgCIJgBkRAFgRBEAQzIAKyIAiCIJgBEZAFQRAEwQyIgCwIgiAIZkAEZEEQBEEwAyIgC4IgCIIZEAFZEARBEMyACMiCIAiCYAZEQBYEQRAEMyACsiAIgiCYARGQBUEQBMEMiIAsCIIgCGZABGRBEARBMAMiIAuCIAiCGVAYcpAkSQDExcUV6GAEQRAEoaTJiJ0ZsTQ3BgXk+Ph4ACpWrJjPYQmCIAjCyyk+Ph4nJ6dc35dJ+kI2oNVqefDgAaVKlUImk5l0gIIgCIJQkkmSRHx8POXKlUMuz/1JsUEBWRAEQRCEgiWSugRBEATBDIiALAiCIAhmQARkQRAEQTADIiALgiAIghkQAVkQBEEQzIAIyIIgCIJgBkRAFgRBEAQz8H+flLQU0djPrwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(G_karate,\n",
    "                 pos = pos) \n",
    "plt.savefig('空手道俱乐部图.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "01ec7d8f-1bf5-47ac-b461-a255705bca67",
   "metadata": {},
   "outputs": [],
   "source": [
    "A_karate = nx.adjacency_matrix(G_karate).todense()\n",
    "# 邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "001212be-5df8-4b05-9293-3e3621ec7daf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(A_karate,cmap = 'RdYlBu_r',\n",
    "            square = True, \n",
    "            xticklabels = [], yticklabels = [])\n",
    "plt.savefig('A邻接矩阵.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "41df28bc-06f4-4e42-a5c7-6f1bbe4f0bf8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
